Arectangle 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.

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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