Question

The perimeter of a rectangle is 65 inches. The ratio of the length to the width is 4:1. Find the length and the width.

Answer 1

Explanation:

Let the common multiplier of the given ratios be x.

Therefore,

length of rectangle (l) = 4x

Width of rectangle (w) = x

Perimeter of rectangle = 2 (4x + x)

`\therefore \: 65 = 2 * 5x \\ \\ \therefore \: 65 = 10x \\ \\ \therefore \:x = (65)/(10) \\ \\ \therefore \:x = 6.5 \: inches \\ \\ \therefore \:4x = 6.5 * 4 = 26 \: inches \\`

Thus,

Length of rectangle = 26 inches

Width of the rectangle = 6.5 inches