Question

1. You are cutting colored cardboard rectangles for school art show. Each art piece will be placed on one of the rectangles so the outside of the rectangle forms a border or mat for the art piece. You are to cut the cardboard to fit artwork that is 3 times longer than it is wide. The mat should be 2 inches wide on each side. Write a polynomial expression for the area of cardboard rectangle. Simplify the expression.
Thanks!

Answer 1

I assume you want the area of the exposed part of the cardboard rectangle
it would be
3x^2 - (x-4)(3x-4)
= 3x^2 - (3x^2 - 16x - 16)
= 16x + 16