Question

A rectangle is 12m longer than it is wide. Its perimeter is 68m. Write and equation and show steps to find its length and width.

Answer 1

length: 23 m; width: 11 m.

Explanation:

The perimeter of a rectangle is twice the sum of its length and width, so that sum is 34 m. Then you can write two equations in length and width:

l + w = 34

l - w = 12

Adding these together gives you ...

2l = 46

l = 23 . . . . . . divide by 2

Then the width is

w = 23 -12 = 11

The length and width are 23 m and 11 m, respectively.