Question

The perimeter of a child's rectangular sandbox is 62 feet. If the length of the sandbox is three feet longer than the width, what equation can be used to find the length and width of the sandbox? Be sure to label your variable(s).

A) 2w + 2(w + 3) = 62
B) 2w + 2l = 62
C) l = w + 3
D) 2l = 62

Answer 1

The equation that can be used to find the length and width of the sandbox is 2w + 2(w + 3) = 62. By solving this equation, we can determine that the width of the sandbox is 14 feet and the length is 17 feet.

Step-by-step explanation:

To find the length and width of the sandbox, we can use the equation 2w + 2(w + 3) = 62. Let's break it down step by step:

1. Let w represent the width of the sandbox.
2. The length of the sandbox is 3 feet longer than the width, so the length can be represented as w + 3.
3. The perimeter of a rectangle is found by adding the lengths of all four sides, so we have 2w + 2(w + 3) = 62.
4. Simplify the equation: 2w + 2w + 6 = 62.
5. Combine like terms: 4w + 6 = 62.
6. Subtract 6 from both sides: 4w = 56.
7. Divide both sides by 4: w = 14.

Therefore, the width of the sandbox is 14 feet, and the length is 14 + 3 = 17 feet.