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Chapter 3: Q. 3.90 (page 370)

The length of a rectangle is eight feet more than the width. The perimeter is 60 feet. Find the length and width.

Short Answer

Expert verified

The length of the rectangle is 19 and its width is 11.

Step by step solution

01

Step 1. Given information

Let the width of the rectangle be xand

the length of the rectangle be x+8.

The perimeter of the rectangle is 60 feet.

02

Step 2. Use the formula for the perimeter of the rectangle.

The perimeter of the rectangle is P=2(l+w).

Substitute the values.

60=2(x+x+8)602=2x+830=2x+830-8=2x22=2x222=xx=11

03

Step 3. Find the length and width of the rectangle.

The length of the rectangle is

l=x+8=11+8=19

The width of the rectangle is

w=x=11

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