Question

The length of a rectangle is 4 times the width. If the perimeter is 150 feet, what are the dimensions of the shape?

A. The length of the rectangle is 36 feet.
B. The width of the rectangle is 7 feet.
C. The length of the rectangle is 6 feet.
D. The width of the rectangle is 7 feet.

Answer 1

The width of the rectangle is 15 feet and the length is 60 feet.

Step-by-step explanation:

To find the dimensions of the rectangle, we can create an equation using the given information. Let's say the width of the rectangle is x. According to the problem, the length is 4 times the width, so the length would be 4x. The formula for the perimeter of a rectangle is P = 2(l + w). Plugging in the given perimeter of 150 feet, we can solve for the dimensions of the rectangle:

1. P = 2(4x + x) = 10x = 150
2. 10x = 150
3. x = 15

So, the width of the rectangle is 15 feet, and the length is 4 times the width, which is 4 * 15 = 60 feet. Therefore, the correct answer is A. The length of the rectangle is 36 feet.