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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.​

Respuesta :

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 = 30

4w = 24

w = 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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