Chapter 3

In the following exercises, solve using rectangle properties. A driveway is in the shape of a rectangle 20 feet wide by 35 feet long. What is its perimeter?

In the following exercises, solve using rectangle properties. The area of a rectangle is 414 square meters. The length is 18 meters. What is the width?

In the following exercises, solve using rectangle properties. The area of a rectangle is 782 square centimeters. The width is 17 centimeters. What is the length?

In the following exercises, solve using rectangle properties. The width of a rectangular window is 24 inches. The area is 624 square inches. What is the length?

In the following exercises, solve using rectangle properties. The length of a rectangular poster is 28 inches. The area is 1316 square inches. What is the width?

In the following exercises, solve using rectangle properties. Find the length of a rectangle with perimeter 124 and width 38 .

In the following exercises, solve using rectangle properties. Find the width of a rectangle with perimeter 92 and length \(19 .\)

In the following exercises, solve using rectangle properties. Find the width of a rectangle with perimeter 16.2 and length 3.2.

In the following exercises, solve using rectangle properties. Find the length of a rectangle with perimeter 20.2 and width 7.8 .

In the following exercises, solve using rectangle properties. The length of a rectangle is nine inches more than the width. The perimeter is 46 inches. Find the length and the width.

In the following exercises, solve using rectangle properties. The width of a rectangle is eight inches more than the length. The perimeter is 52 inches. Find the length and the width.

In the following exercises, solve using rectangle properties. The perimeter of a rectangle is 58 meters. The width of the rectangle is five meters less than the length. Find the length and the width of the rectangle.

In the following exercises, solve using rectangle properties. The perimeter of a rectangle is 62 feet. The width is seven feet less than the length. Find the length and the width.

In the following exercises, solve using rectangle properties. The width of the rectangle is 0.7 meters less than the length. The perimeter of a rectangle is 52.6 meters. Find the dimensions of the rectangle.

In the following exercises, solve using rectangle properties. The length of the rectangle is 1.1 meters less than the width. The perimeter of a rectangle is 49.4 meters. Find the dimensions of the rectangle.

In the following exercises, solve using rectangle properties. The perimeter of a rectangle is 150 feet. The length of the rectangle is twice the width. Find the length and width of the rectangle.

In the following exercises, solve using rectangle properties. The length of a rectangle is three times the width. The perimeter of the rectangle is 72 feet. Find the length and width of the rectangle.

In the following exercises, solve using rectangle properties. The length of a rectangle is three meters less than twice the width. The perimeter of the rectangle is 36 meters. Find the dimensions of the rectangle.

In the following exercises, solve using rectangle properties. The length of a rectangle is five inches more than twice the width. The perimeter is 34 inches. Find the length and width.

In the following exercises, solve using rectangle properties. The perimeter of a rectangular field is 560 yards. The length is 40 yards more than the width. Find the length and width of the field.

In the following exercises, solve using rectangle properties. The perimeter of a rectangular atrium is 160 feet. The length is 16 feet more than the width. Find the length and width of the atrium.

In the following exercises, solve using rectangle properties. A rectangular parking lot has perimeter 250 feet. The length is five feet more than twice the width. Find the length and width of the parking lot.

In the following exercises, solve using rectangle properties. A rectangular rug has perimeter 240 inches. The length is 12 inches more than twice the width. Find the length and width of the rug.

Christa wants to put a fence around her triangular flowerbed. The sides of the flowerbed are six feet, eight feet and 10 feet. How many feet of fencing will she need to enclose her flowerbed?

Jose just removed the children's playset from his back yard to make room for a rectangular garden. He wants to put a fence around the garden to keep out the dog. He has a 50 foot roll of fence in his garage that he plans to use. To fit in the backyard, the width of the garden must be 10 feet. How long can he make the other length?

If you need to put tile on your kitchen floor, do you need to know the perimeter or the area of the kitchen? Explain your reasoning.

If you need to put a fence around your backyard, do you need to know the perimeter or the area of the backyard? Explain your reasoning.

In the following exercises, solve. Lilah is moving from Portland to Seattle. It takes her three hours to go by train. Mason leaves the train station in Portland and drives to the train station in Seattle with all Lilah's boxes in his car. It takes him 2.4 hours to get to Seattle, driving at 15 miles per hour faster than the speed of the train. Find Mason's speed and the speed of the train.

In the following exercises, solve. Kathy and Cheryl are walking in a fundraiser. Kathy completes the course in 4.8 hours and Cheryl completes the course in 8 hours. Kathy walks two miles per hour faster than Cheryl. Find Kathy's speed and Cheryl's speed

In the following exercises, solve. Two busses go from Sacramento for San Diego. The express bus makes the trip in 6.8 hours and the local bus takes 10.2 hours for the trip. The speed of the express bus is 25 mph faster than the speed of the local bus. Find the speed of both busses.

In the following exercises, solve. A commercial jet and a private airplane fly from Denver to Phoenix. It takes the commercial jet 1.1 hours for the flight, and it takes the private airplane 1.8 hours. The speed of the commercial jet is 210 miles per hour faster than the speed of the private airplane. Find the speed of both airplanes.

In the following exercises, solve. Saul drove his truck 3 hours from Dallas towards Kansas City and stopped at a truck stop to get dinner. At the truck stop he met Erwin, who had driven 4 hours from Kansas City towards Dallas. The distance between Dallas and Kansas City is 542 miles, and Erwin's speed was eight miles per hour slower than Saul's speed. Find the speed of the two truckers.

In the following exercises, solve. Charlie and Violet met for lunch at a restaurant between Memphis and New Orleans. Charlie had left Memphis and drove 4.8 hours towards New Orleans. Violet had left New Orleans and drove 2 hours towards Memphis, at a speed 10 miles per hour faster than Charlie's speed. The distance between Memphis and New Orleans is 394 miles. Find the speed of the two drivers.

In the following exercises, solve. Sisters Helen and Anne live 332 miles apart. For Thanksgiving, they met at their other sister's house partway between their homes. Helen drove 3.2 hours and Anne drove 2.8 hours. Helen's average speed was four miles per hour faster than Anne's. Find Helen's average speed and Anne's average speed.

In the following exercises, solve. Ethan and Leo start riding their bikes at the opposite ends of a 65-mile bike path. After Ethan has ridden 1.5 hours and Leo has ridden 2 hours, they meet on the path. Ethan's speed is six miles per hour faster than Leo's speed. Find the speed of the two bikers.

Elvira and Aletheia live 3.1 miles apart on the same street. They are in a study group that meets at a coffee shop between their houses. It took Elvira half an hour and Aletheia two-thirds of an hour to walk to the coffee shop. Aletheia's speed is 0.6 miles per hour slower than Elvira's speed. Find both women's walking speeds.

In the following exercises, solve. DaMarcus and Fabian live 23 miles apart and play soccer at a park between their homes. DaMarcus rode his bike for threequarters of an hour and Fabian rode his bike for half an hour to get to the park. Fabian's speed was six miles per hour faster than DaMarcus' speed. Find the speed of both soccer players.

In the following exercises, solve. Cindy and Richard leave their dorm in Charleston at the same time. Cindy rides her bicycle north at a speed of 18 miles per hour. Richard rides his bicycle south at a speed of 14 miles per hour. How long will it take them to be 96 miles apart?

In the following exercises, solve. Matt and Chris leave their uncle's house in Phoenix at the same time. Matt drives west on I-60 at a speed of 76 miles per hour. Chris drives east on I-60 at a speed of 82 miles per hour. How many hours will it take them to be 632 miles apart?

In the following exercises, solve. Two busses leave Billings at the same time. The Seattle bus heads west on I-90 at a speed of 73 miles per hour while the Chicago bus heads east at a speed of 79 miles an hour. How many hours will it take them to be 532 miles apart?

In the following exercises, solve. Two boats leave the same dock in Cairo at the same time. One heads north on the Mississippi River while the other heads south. The northbound boat travels four miles per hour. The southbound boat goes eight miles per hour. How long will it take them to be 54 miles apart?

In the following exercises, solve. Lorena walks the path around the park in 30 minutes. If she jogs, it takes her 20 minutes. Her jogging speed is 1.5 miles per hour faster than her walking speed. Find Lorena's walking speed and jogging speed.

In the following exercises, solve. Julian rides his bike uphill for 45 minutes, then turns around and rides back downhill. It takes him 15 minutes to get back to where he started. His uphill speed is 3.2 miles per hour slower than his downhill speed. Find Julian's uphill and downhill speed.

In the following exercises, solve. Cassius drives his boat upstream for 45 minutes. It takes \(\begin{array}{lll}\text { him } & 30 & \text { minutes to return }\end{array}\) downstream. His speed going upstream is three miles per hour slower than his speed going downstream. Find his upstream and downstream speeds.

In the following exercises, solve. It takes Darline 20 minutes to drive to work in light traffic. To come home, when there is heavy traffic, it takes her 36 minutes. Her speed in light traffic is 24 miles per hour faster than her speed in heavy traffic. Find her speed in light traffic and in heavy traffic.

In the following exercises, solve. At 1:30 Marlon left his house to go to the beach, a distance of 7.6 miles. He rode his skateboard until \(2: 15,\) then walked the rest of the way. He arrived at the beach at 3:00. Marlon's speed on his skateboard is 2.5 times his walking speed. Find his speed when skateboarding and when walking.

In the following exercises, solve. Aaron left at 9:15 to drive to his mountain cabin 108 miles away. He drove on the freeway until \(10: 45,\) and then he drove on the mountain road. He arrived at 11:05. His speed on the freeway was three times his speed on the mountain road. Find Aaron's speed on the freeway and on the mountain road.

In the following exercises, solve. Marisol left Los Angeles at 2: 30 to drive to Santa Barbara, a distance of 95 miles. The traffic was heavy until 3:20. She drove the rest of the way in very light traffic and arrived at 4:20. Her speed in heavy traffic was 40 miles per hour slower than her speed in light traffic. Find her speed in heavy traffic and in light traffic.

In the following exercises, solve. Lizette is training for a marathon. At 7:00 she left her house and ran until \(8: 15,\) then she walked until 11:15. She covered a total distance of 19 miles. Her running speed was five miles per hour faster than her walking speed. Find her running and walking speeds.

John left his house in Irvine at 8: 35 am to drive to a meeting in Los Angeles, 45 miles away. He arrived at the meeting at 9:50. At \(3: 30 \mathrm{pm}\), he left the meeting and drove home. He arrived home at 5: 18 . (a) What was his average speed on the drive from Irvine to Los Angeles? (b) What was his average speed on the drive from Los Angeles to Irvine? (C) What was the total time he spent driving to and from this meeting? (D) John drove a total of 90 miles roundtrip. Find his average speed. (Round to the nearest tenth.)