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Bess [88]
3 years ago
10

The area of a rectangular back yard can be represented by x2 – 9x + 14 square meters. If the width of the yard is (x – 2) feet,

what is the length?
Mathematics
1 answer:
irakobra [83]3 years ago
6 0

Answer:

(x-7)

Step-by-step explanation:

Recall that the area of a rectangle A whose length is l an d width is w

= l * w

Given that the area is

= x2 – 9x + 14

Factorize

x2 – 9x + 14 = x2 – 7x - 2x + 14

= x(x - 7) -2(x - 7)

= (x - 2)(x - 7)

Given that the width of yard is  (x – 2) then the length will be (x-7)

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For this case we have the following equation:
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