209k views
1 vote
The length of a rectangle is 2 meters longer than its width. If the perimeter of the rectangle is 40 meters, find its area.

1 Answer

6 votes

Answer:

The perimeter of a rectangle is the sum of twice the length and twice the width. The area of a rectangle is length times width.

Let width = x

Let length = x + 2

Perimeter = 44 meters

Area = ?

We can set an equation for perimeter.

2x + 2(x + 2) = 44

Solve the equation for x.

2x + 2x + 4 = 44

4x + 4 = 44

4x = 40

x = 10

Substitute this value of x into the variables.

width = 10 meters

length = 12 meters

Finally, multiply these two numbers to get your area. Keep in mind that the units for area is square meters.

User Donita
by
7.9k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories