How do you express the area A of a rectangle as a function of the width, W , if the width of the rectangle is twice its length?

Solution:

Let us proceed with the below steps to express the area A of a rectangle as a function of the width.

Given, width = 2 times length

Area of a rectangle = length × width

Let, L be the length of the rectangle

W be the width of the rectangle

Area is given by:

 A = L × W

Given, W = 2L

L = W/2

Substituting the value of L in terms of W in the area formula,

Now area becomes,

A = W/2 × W

A = W² / 2

Therefore, the area in terms of width is W² / 2.

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How do you express the area A of a rectangle as a function of the width, W , if the width of the rectangle is twice its length?

Summary:

The area A of a rectangle as a function of the width,W, if the width of the rectangle is twice its length is W² / 2.