Question

The length of the rectangle is 4 ft longer than its width. If the perimeter of the rectangle is 72 ft, find its length and width.

a. Length = 18 ft, Width = 14 ft
b. Length = 20 ft, Width = 16 ft
c. Length = 19 ft, Width = 15 ft
d. Length = 22 ft, Width = 18 ft

Answer 1

To find the length and width of the rectangle, set up an equation based on the given information. Solve the equation to find the width and use it to calculate the length. The correct answer is Length = 20 ft, Width = 16 ft.

Step-by-step explanation:

To find the length and width of the rectangle, we can set up an equation based on the given information. Let's say the width of the rectangle is 'x' feet. According to the problem, the length of the rectangle is 4 feet longer than its width, so the length would be 'x + 4' feet.

The perimeter of a rectangle is equal to twice the sum of its length and width. So, the equation would be: 2(x + x + 4) = 72. Simplifying this equation, we have: 2(2x + 4) = 72. Now solve for 'x'.

2(2x + 4) = 72
4x + 8 = 72
4x = 64
x = 16

Therefore, the width of the rectangle is 16 feet and the length is x + 4 = 16 + 4 = 20 feet. So, the correct answer is: Length = 20 ft, Width = 16 ft