Question

The area of a rectangle is 192 in ^2. The ratio of the length to the width is 4:3. Find the length and the width.

The length of the rectangle is ___ in.
The width of the rectangle is___.

Answer 1

Length = 16 in

Width = 12 in

Explanation:

Given:

Area of a rectangle = 192 in²

Ratio(length to width) = 4:3

Find:

Length and the width

Computation:

Ratio(length to width) = 4:3

So,

Length = 4a

Width = 3a

Area of a rectangle = Length x Width

192 = 4a x 3a

192 = 12a²

a² = 16

a = 4

Length = 4a = 4 x 4 = 16 in

Width = 3a = 3 x 4 = 12 in