Question

The length of a rectangle is six times its width. If the perimeter of the rectangle is 70 cm, find its length and width.

length:
width:

Answer 1

Explanation:

Let's start by using the formula for the perimeter of a rectangle:

P = 2L + 2W

where P is the perimeter, L is the length, and W is the width.

We are given that the perimeter is 70 cm, so we can substitute this in the formula:

70 = 2L + 2W

Dividing both sides by 2, we get:

35 = L + W

We are also given that the length is six times the width, so we can write:

L = 6W

Substituting this in the equation we just derived, we get:

35 = 6W + W

Simplifying, we get:

35 = 7W

Dividing both sides by 7, we get:

W = 5

So the width of the rectangle is 5 cm.

Using the equation L = 6W, we can find the length:

L = 6 x 5 = 30

So the length of the rectangle is 30 cm.

Therefore, the length of the rectangle is 30 cm and the width is 5 cm.