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25 September, 01:30

A rectangle has an area of k2 + 19k + 60 square inches. If the value of k and the dimensions of the rectangle are all natural numbers, which statement about the rectangle could be true?

A - The length of the rectangle is k - 5 inches.

B - The width of the rectangle is k + 4 inches.

C - The length of the rectangle is k - 20 inches.

D - The width of the rectangle is k + 10 inches.

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Answers (1)
  1. 25 September, 05:06
    0
    Than you check this quadratic what is area of rectangle so this can being factorized

    k^2 + 19k + 60 = (k+4) (k+15) and we know that area of a rectangle is given by the product of the length and width

    so in this way result that bc. area equal (k+4) (k+15) where k+15 mean the length of rectangle so in this way result that k+4 mean the width of rectangle and hence the choice B. is right sure

    hope this is understandably sure right easy for you
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