Question

A rectangle has a length of (x + 3) centimeters and the width of x centimeters. The perimeter of a rectangle is 26 centimeters. Find the length of the rectangle, in centimeters. *

Answer 1

8 cm

Explanation:

The perimeter of a rectangle is found by

P = 2(l+w) where l is the length and w is the width

We are given l = x+3 and width is x and the perimeter is 26

26 = 2( x+3 +x)

Combine like terms

26 =2(2x+3)

Divide each side by 2

26/2 =2/2(2x+3)

13 = 2x+3

Subtract 3 from each side

13-3 = 2x+3-3

10 =2x

Divide each side by 2

10/2 =2x/2

5 = x

We want to find the length

length = x+3

= 5+3

=8 cm