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Darina [25.2K]
2 years ago
11

(25 PNTS!!) The area of a rectangle is 63 square meters. If the length of the rectangle is 2 m longer than its width, find the d

imensions. Let w be the width of the rectangle in meters. First find the width of the rectangle by solving for w, then length.
Mathematics
1 answer:
chubhunter [2.5K]2 years ago
4 0

Answer:

w = 7m

l =9 m

Step-by-step explanation:

Let w = width

l = w+2

A = l*w

63 = (w+2) * w

63 = w^2 +2w

Subtract 63 from each side

0 = w^2 +2w - 63

Factor

What 2 numbers multiply to -63 and add to 2

9*-7 = -63

9-7 = 2

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

Using the zero product property

w+9 =0     w-7 =0

w = -9        w = 7

Since we cannot have a negative length

w=7

l =w+2 =7+2 = 9

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