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The length of a rectangle is the sum of the width and 2. The area of the rectangle is 63 units. What is the width, in units, of the rectangle?​

User Suresh
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1 Answer

18 votes
18 votes

Answer:

WITDTH=7

Explanation:

width = w

length = w + 2.

w(w + 2) = 63 (area)

quadratic equation in w:

w2 + 2w = 63

w2 + 2w - 63 = 0

FACTOR:

(w + 9)(w - 7) = 0

9-7=2

9x(-7) = -63

Two possible solutions:

w + 9 = 0 (solution w = -9) or

w - 7 = 0 (solution w = 7)

The width must be positive, the answer is 7 units.

length = w+2

length = 9

User Robert Graves
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