Areas of Plane Figures

Geometry ยท 100 exercises

Q7

The base of a rectangle is 2x and heighx3. What is the area?

3 step solution

Q1.

Tell what each letter represent in the formula.A=s2

3 step solution

Q2.

Tell what each letter represent in the formula.A=bh

3 step solution

Q3.

Find the area and perimeter of a square with sides 5cmlong.

3 step solution

Q4.

The perimeter of a square is 28cm.What is the area?

3 step solution

Q5.

The area of a square is64cm2 .What is the periemter?

3 step solution

Q6.

The base of a rectangle is 8cm and height 3cm .What is the area?

3 step solution

Q7.

The base of a rectangle is 4cm and height 1.2cm .What is the area?

3 step solution

Q8.

The area of a rectangle is 36m2 and base 12cm .What is the height?

3 step solution

Q9.

The area of a rectangle is 55cm2 and height 5cm .What is the base?

3 step solution

Q10.

The base of a rectangle is32cm  and height 2cm .What is the area?

3 step solution

Q11.

The base of a rectangle is 42 and height 2 .What is the area?

3 step solution

Q12.

The base of a rectangle is53  and height 23 .What is the area?

3 step solution

Q13.

The base of a rectangle isx+3  and height X .What is the area?

3 step solution

Q14.

a. What is the converse of the Area Congruence Postulate?

6 step solution

Q15.

a. Draw three noncongruent rectangles, each with perimeter20cm  . Find the area of each reactangle.

6 step solution

Q1.

The base of a rectangle is12cm  and height 5cm .What is the area?

3 step solution

Q2.

The base of a rectangle is8.2cm  and height 4cm .What is the area?

3 step solution

Q3.

The base of a rectangle is 16cm and area is 80cm2 .What is the height?

3 step solution

Q4.

The height of a rectangle is 8cm and area is120cm2  .What is the base?

3 step solution

Q5.

The base of a rectangle is32  and height 42 .What is the area?

3 step solution

Q6.

The base of a rectangle is6  and height 2 .What is the area?

3 step solution

Q8.

The base of a rectangle is 4k1 and heightk+2 . What is the area?

3 step solution

Q9.

The base of a rectangle is9cm  and height 4cm. What is the area?

3 step solution

Q10.

The base of a rectangle is 40cm and perimeter is100cm . What is the area and height of the rectangle?

3 step solution

Q11.

The base of a rectangle is 16cm and perimeter is42cm . What is the area and height of the rectangle?

3 step solution

Q12.

The base of a rectangle is (x+5) and height(x) . What is the area and perimeter of the rectangle?

3 step solution

Q13.

The base of a rectangle is (a+3)  and height (a3) . What is the area and perimeter of the rectangle?

3 step solution

Q14.

The base of a rectangle is (k+7) and perimeter (4k+20). What is the area and height of the rectangle?

3 step solution

Q15.

The base of a rectangle is (x) and area (x23x). What is the area and perimeter of the rectangle?

3 step solution

Q16.

The area of a rectangle is(y2+7y)  and height (y). What is the perimeter and base of the rectangle?

3 step solution

Q17.

Consecutive sides of the figures are perpendicular. Find the area of each figure. 

3 step solution

Q18.

Consecutive sides of the figures are perpendicular. Find the area of each figure. 

3 step solution

Q19.

Consecutive sides of the figures are perpendicular. Find the area of each figure. 

3 step solution

Q20.

Consecutive sides of the figures are perpendicular. Find the area of each figure. 

3 step solution

Q21.

Consecutive sides of the figures are perpendicular. Find the area of each figure. 

3 step solution

Q22.

Consecutive sides of the figures are perpendicular. Find the area of each figure. 

3 step solution

Q23.

Find the area of given figure? 

3 step solution

Q24.

Find the area of given figure? 

3 step solution

Q25.

Find the area of a square with diagonals of length  d

3 step solution

Q26.

The length of a rectangle is 12cm more than its width. Find the area of the rectangle if its perimeter is 100cm

3 step solution

Q27.

A path2m wide surroundings a rectangular garden 20m long and 12m wide. Find the area of the path.

3 step solution

Q28.

How much will it cost to blacktop the driveway shown if blacktopping costs$11.00 per square meter?


3 step solution

Q29.

A room28ft long and  wide has walls 8ft high. 

  1. What is the total wall area?
  2.  How many gallon cans of paint should be bought to paint the walls if 1 gal of paint covers. 300ft2

3 step solution

Q30.

A wooden fence high and  220ft long is to be painted on both sides.

  1. What is the total area to be painted?
  2. A gallon of a certain type paint will cover only 200ft2 of area for the first coat, but on the second coat a gallon of the same paint will cover 300ft2.  If the fence is to be given two coats of paint, how many gallons of paint should be bought? 

3 step solution

Q31.

A rectangle having area 392m2 is twice as long as it is wide. Find its dimensions.

3 step solution

Q32.

The lengths of the sides of three squares ares,(s+1),&(s+2).  If their total area is365cm2 , find their total perimeter.

3 step solution

Q33.

Derive a formula for the area of the triangle shown by using the formula for the area of a rectangle.


3 step solution

Q34.

The diagonals of a rectangle are18cm long and intersect at a" width="9" height="19" style="max-width: none; vertical-align: -4px;" >60 angle. Find the area of the triangle.

3 step solution

Q35.

  1. Suppose you have40m of fencing with which with to make a rectangle pen for a dog. If one side of the rectangle is x long, explain why the other side is(20x)m long.

12 step solution

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