Question

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

Answer 1

The rectangle has a length of s + 1 inch and a width of s - 6 inches.

The area of a rectangle is given by multiplying the length and width, so the polynomial representing the area of the rectangle is:

(s + 1) * (s - 6) = s^2 - 5s - 6.

Hence, the polynomial representing the area of the rectangle is s^2 - 5s - 6.