Question

M3L7 Homework
The perimeter of a rectangle is 80 inches. If its length is three times its width, find the dimensions,
Length=
inches
Width=
inches

Answer 1

Answer:

• Length = 30 inches

• Width = 10 inches

Step-by-step explanation:

Given the perimeter of a rectangle P = 80 inches

Let 'x' be the width of a rectangle.

i.e.

x = width

As the length of a rectangle is three times its width. Thus,

length = 3x

We know that perimeter is the sum of all the sides (width and length) of a rectangle. So,

The Perimeter of a rectangle = 2(width + length)

substituting P = 80, width = x, length = 3x

80 = 2(x + 3x)

80 = 2x + 6x

80 = 8x

divide both sides by 8

80/8 = 8x/8

10 = x

Thus, the value of x = 10

Therefore,

The width = x = 10 inches

The length = 3x = 3(10) = 30 inches

Thus,

• Length = 30 inches

• Width = 10 inches