# The length of a rectangle is 3 yd longer than its width. if the perimeter of the rectangle is 34 yd, what is it's area.

2 answers

###### Question:

the length of a rectangle is 3 yd longer than its width. if the perimeter of the rectangle is 34 yd, what is it's area.

## Answers

Answer:Step-by-step explanation:Let w = the width. So then the length is w + 3. The formula for the perimeter of a rectangle is 2 (L+W), or in this case, 2 (w + 3 + w) = 2 (2w + 3) = 4w + 6. We know that's equal to 30, so let's solve for w:4w + 6 = 304w = 24w = 6 Since the length is 3 more than the width, the length must be 9. Therefore the area is 6 * 9 = 54 square yards.

The answer is: 54 square yards

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