Question

A rectangle has a length of 16

inches and a width of 6 inches. A similar rectangle has a length of 24 inches. What is the width of the similar rectangle?

Answer 1

9 inches

Explanation:

Given

Let;

`L = Length; W= Width`

So:

`L_1=16in; W_1 = 6in`

`L_2 = 24`

Required

Determine
`W_2`

To do this, we make use of the following equivalent ratios

`L_1 : W_1 = L_2:W_2`

This gives

`16 : 6= 24:W_2`

Express as fraction

`(6)/(16)= (W_2)/(24)`

Multiply by 24

`W_2 = 24 * (6)/(16)`

`W_2 = 9`