A square painting is surrounded by a frame. The outside edges of the frame are x inches in length and there is a 2-inch border between the painting and the frame. What is the total area of the border?
To get the area of the border we proceed as follows; Area=length*width area of the frame=x*x=x^2 length of the painting=(x-2) inches width of the frame=(x-2) inches area=(x-2)(x-2)=x^2-2x+4 the area of the border will be: Area=(frame area)-(area of the paint) Area=x^2-(x^2-2x+4) Area=(2x-4) in^2
