Question

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.

Answer 1

B

Explanation:

Answer 2

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