Question

The area of a rectangle is 72cm2, in which the width is twice the length. what are the dimensions

Answer 1

Dimension: 2inches by 4 inches

Explanation:

Given

`Width = 2wice\ Length`

Required

Determine the dimension.

This is calculated as :

`Area = Length * Width`

`A = L * W`

So:

`A=L * 2L`

`A=2L^2`

Substitute 72 for A

`72=2L^2`

Divide bith sodes by 2

`36 = L^2`

Take square root of both sides

`L = 6`

Recall that:

`Width = 2 * Length`

Hence:

`LEnhth= 0 * 2`

`LEnhth= 2`

Hence, the dimension is: 2 by 3 inches