The length of a rectangle is 5 cm more than its width. The perimeter is 82 cm. Find the length of the rectangle.

Question

asked May 1, 2019 70.0k views

1 Answer

Cald · Answer 1 · 2019-05-07T15:49:52+0000

We will represent the length of the rectangle as
and the width as
.

From this problem, we can say
l = w + 5 . We can also deduct an equation from the second sentence:

2l + 2w = 82

2(w + 5) + 2w = 82 (from substitution)

2w + 10 + 2w = 82

4w = 72

$\boxed{w = 18}$

Using this value for
, we can find
:

l = 18 + 5

$\boxed{l = 23}$

The length of the rectangle is 23 cm and the width of the rectangle is 18 cm.