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A rectangle has a width that is 7 centimeters less than its length, and its area is 330 square centimeters. What are the dimensions of the rectangle?

length =
centimeters

width =
centimeters

User Thermans
by
5.1k points

2 Answers

3 votes

Answer:

length would be 47 or 47.1

Explanation:

its width is 7

User Paulochf
by
5.3k points
1 vote

Answer:

Explanation:

Let the width be w centimeters.

Then the length = w + 7.

The area A is found from the length multiplied by the width.

330 = w(w + 7) = w^2 + 7w.

Now we can rearrange this equation to form a quadratic, as follows:

The factorization of the quadratic is:

(w + 22)(w - 15) = 0

Therefore we find that:

width = 15 centimeters

length = 22 centimeters

User Daniel Silveira
by
5.2k points