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? the length of the rectangle is k – 5 inches. the width of the rectangle is k + 4 inches. the length of the rectangle is k – 20 inches. the width of the rectangle is k + 10 inches.

By definition, the area of a rectangle is given by:

Where,

w: width of the rectangle

l: length of the rectangle

We then have the following expression for the area:

What we must do is factorize the expression following the following steps:

1) Find two numbers that are equal to 19

2) Find two multiplied numbers equal to 60

We have then:

Therefore, the width of the rectangle is:

The width of the rectangle is k + 4 inches.

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