An artist framed a rectangular picture. The dimensions of the frame are 4x+3 and 3x+5. He is going to place the picture with the border of 2 inches. Then he wants to paint the border. What is the area he has to paint?

Answer 1

area of picture = (4x+3)(3x+5)
= 12x^2 + 29x + 15

area of whole thing = (4x+3 +4)(3x+5 + 4)
= (4x+7)(3x+9)
= 12x^2 + 57x+63

area of border
= 12x^2 + 57x+63 - (12x^2 + 29x + 15)
= 28x + 48