Question

The perimeter of a rectangle is 21 inches. What is the measure of its width if its length is 3 inches greater than its width?

Answer 1

x = 3.75 inches

Explanation:

We have,

Perimeter of a rectangle, P = 21 inches

Its length is 3 inches greater than its width. Let width is x. So, length of rectangle is l = 3+x

The perimeter of a rectangle is :

`P=2(l+b)`

l is length and b is breadth

Here, l = 3+x, b = x

Perimeter :

`P=2(3+x+x)\\\\21=2(3+2x)`

`21=6+4x\\\\15=4x\\\\x=3.75\ \text{inches}`

So, the width is 3.75 inches.