Question

A rectangle has a perimeter of 68 inches. If the width of the rectangle is 10 inches, what is the length of the rectangle. Please explain

Answer 1

The perimeter of a rectangle is given by:

`P_r = 2(l+w)`

We need to solve for length (l):

`P_r = 2l+ 2w`

`l = (P_r - 2w)/(2)`

Plug in given information:

`l = (68-2(10))/(2)`

`l = 24`

So, the length of the rectangle is 24 inches.

Answer 2

Perimeter is the sum of all the 4 sides:
Perimeter = L + L + W + W

Given Width = 10 and Perimeter = 68
L + L + 10 + 10 = 68
2L + 20 = 68
2L = 68 - 20
2L = 48
L = 48 ÷ 2 = 24

Length = 24 inches