Question

The length of a rectangle is eight more than wide its width. The perimeter is 96 feet. Find the dimensions of the rectangle.

Option 1: L = 28 feet, W = 10 feet
Option 2: L = 24 feet, W = 12 feet
Option 3: L = 20 feet, W = 14 feet
Option 4: L = 16 feet, W = 16 feet

Answer 1

The dimensions of the rectangle are L = 28 feet and w = 20 feet.

Step-by-step explanation:

To find the dimensions of the rectangle, we can set up the following equations:

L = w + 8

2L + 2w = 96

Substituting the first equation into the second equation:

2(w + 8) + 2w = 96

Simplifying the equation:

2w + 16 + 2w = 96

Combining like terms:

4w + 16 = 96

Subtracting 16 from both sides of the equation:

4w = 80

Dividing both sides of the equation by 4:

w = 20

Substituting the value of w back into the first equation:

L = 20 + 8

L = 28

Therefore, the dimensions of the rectangle are L = 28 feet and w = 20 feet.