The length of a rectangle is four meters less than twice its width. If the perimeter of the rectangle is 100 meters, what is the width?

Question

Responses

18m
18m

24m
24m

8m
8m

32m

Answer 1

Let's let the width be represented by x.

According to the problem, the length is four meters less than twice the width. So, we can say that the length is 2x - 4.

The formula for the perimeter of a rectangle is P = 2L + 2W. Plugging in the given values, we get:

100 = 2(2x - 4) + 2x

Simplifying, we have:

100 = 4x - 8 + 2x

100 = 6x - 8

Adding 8 to both sides, we have:

108 = 6x

Dividing both sides by 6, we get:

x = 18

Therefore, the width of the rectangle is 18 meters.