Q14E - University Physics with Modern Physics

Question

With a wooden ruler, you measure the length of a rectangular piece of sheet metal to be 12 mm. With micrometer calipers, you measure the width of the rectangle to be 5.98 mm. Use the correct number of significant figures: What is (a) the area of the rectangle; (b) the ratio of the rectangle’s width to its length; (c) the perimeter of the rectangle; (d) the difference between the length and the width; and (e) the ratio of the length to the width?

Step-by-Step Solution

Answer

Given-

Length=12mm.

Width=5.98mm

Step 1: To find

Area, Ratio width/length, perimeter, difference between length and width, Ratio of Length/width 

Step 2: (Calculation Area)

Area=Lengthx Width

Area=12x5.98 mm2

Area=71.76 mm2

Area= 71.76x10-6m2

Step 3: (Perimeter and difference between Length and width)

Perimeter of rectangular sheet =2(Length+width)

P=2(12+5.98)

P=23.96mm

Step 4: (Ratio of width to Length, Length to width)

(a)Width/Length=5.98/12=0.49

(b)Length/Width=12/5.98=2.0066

Step 5: (Conclusion)

Rectangular sheet Area= 71.76x10-6m2

Perimeter=23.96mm

Ratio of Width/Length=5.98/12=0.49

Ratio of Length/Width=12/5.98=2.0066