Question

A rectangle is five feet longer than twice its width. The perimeter if the rectangle is 66 feet. What is the area of the rectangle

Answer 1

The width of the rectangle is 9 feet and the length is 23 feet. The area of the rectangle is 207 square feet.

Step-by-step explanation:

To find the dimensions of the rectangle, let's assign variables:

Let the width of the rectangle be x.

Then, the length of the rectangle is 2x+5 (five feet longer than twice its width).

Since the perimeter of a rectangle is the sum of all four sides, we can write the equation:

2(x + 2x+5) = 66.

Simplifying, we get: 2(3x+5) = 66, and 6x+10 = 66.

By solving the equation, we find that the width is 9 feet and the length is 23 feet.

To find the area of the rectangle, we multiply the width by the length: 9 x 23 = 207 square feet.