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murzikaleks [220]
3 years ago
9

The rectangle has an area of x^2-7x+10 square meters and a width of x−5 meters. What expression represents the length of the rec

tangle?
Mathematics
1 answer:
Katyanochek1 [597]3 years ago
8 0

Answer:

length = x - 2

Step-by-step explanation:

Area (A) of rectangle = lw ( l is the length and w the width )

A = x² - 7x + 10 = (x - 2)(x - 5) ← in factored form

l = \frac{A}{w} = \frac{(x-2)(x-5)}{x-5}

cancel the factor (x - 5) on the numerator/ denominator, hence

l = x - 2


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