Question

The perimeter of a rectangular garden is 44. The length is 8 less than 5 times the width. What are the dimensions of the garden?

A. Length = 10, Width = 6
B. Length = 12, Width = 4
C. Length = 14, Width = 5
D. Length = 16, Width = 4

Answer 1

Using the information given in the problem, we found out the width of the garden is 5 and the length is 17.

Step-by-step explanation:

To solve the problem, let's denote the width of the garden as w. According to the problem, the length is 8 less than 5 times the width, which we can express as l = 5w - 8. The perimeter of a rectangle is calculated by adding twice the length and twice the width, which gives us the equation 2l + 2w = 44. Substituting l with 5w - 8 yields 2(5w - 8) + 2w = 44.

Simplify the equation:

• 10w - 16 + 2w = 44
• 12w - 16 = 44
• 12w = 60
• w = 5

Now that we have the width, we can find the length:

• l = 5w - 8 = 5(5) - 8 = 25 - 8 = 17

So, the dimensions of the garden are a length of 17 and a width of 5, which corresponds to none of the given options.