Question

The length of a rectangle is 5 5 inches more than the width. the perimeter is 26 26 inches. find the length and the width.

Answer 1

Width = 4 in

Length = 9 in

Explanation:

2x + 2(x+5) = 26

2x + 2x + 10 = 26

4x + 10 = 26

4x = 26 - 10 = 16

x = 16/4 = 4

The width is 4 in.

The length is 4 + 5 = 9 in

Answer:

Width = 4 in

Length = 9 in

Answer 2

Let x = width in
Because the length is 5 in. more than the width, therefore
length = (x + 5) in

The perimeter is equal to twice the width plus twice the length. Therefore
2x + 2(x+5) = 26
2x + 2x + 10 = 26
4x + 10 = 26
4x = 26 - 10 = 16
x = 16/4 = 4

The width is 4 in.
The length is 4 + 5 = 9 in

Answer:
Width = 4 in
Length = 9 in