Question

A square has sides of length s. A rectangle is 6 inches shorter and 1 inch longer than the square.

Which of the following polynomials represents the area of the rectangle? Select all that apply.

Answer 1

A = s² - 5s - 6

Explanation:

A square has sides of length s.

Now, a rectangle is 6 inches shorter and 1 inch longer than the square.

So, the rectangle has length = (s + 1) and width = (s - 6).

Therefore, the area of the rectangle is, A = Length × Width

⇒ A = (s + 1)(s - 6)

⇒ A = s² - 5s - 6

Therefore, this is the required polynomial. (Answer)