Question

Jake is framing a square painting with side lenghths of (x+4) inches. The total area of the painting and the frame has a side length of (2x-3) inches. Write an expression for the area of the frame. It says (Hint: Label sides and find shaded region) Type answer with NO spaces and use ^ to show exponent

Answer 1

3x^2-20x-7 in^2.

Explanation:

The area of the frame = total area - area of the painting.

This is (2x-3)^2-(x+4)^2

= 4x^2-12x+9-(x^2+8x+16)

= 4x^2-12x+9-x^2-8x-16

= 3x^2-20x-7 in^2.