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Snezhnost [94]
3 years ago
5

One side of a rectangle is 4 inches longer than the other side. The area of the rectangle is 21 square inches. Find the lengths

of each side.
Mathematics
1 answer:
hammer [34]3 years ago
5 0

Answer:

l = 7 in; w = 3 in

Step-by-step explanation:

The formula for the area of a rectangle is

A = lw

Data:

A = 21 in²

l = w + 4

Calculation:

                 21 = (w + 4) × w

                 21 = w² + 4w

w² + 4w - 21 = 0

(w + 7)(w - 3) = 0

w + 7 = 0     w - 3 = 0

      w = -7         w = 3

We reject the negative value, so w = 3 in.

21 = l × 3

l = 7

The rectangle is 7 in long and 3 in wide.

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