An oil painting is 10in. longer than it is wide and is bordered on all sides by a 3in. wide frame. If the area of the frame alone is 402in^2, what are the dimensions of the painting?
We let the width be
Then the area of the frame is given by:
We know the area of the frame. Since the frame with the picture and without the picture is a rectangle, the area is given by length times width.
The picture therefore has dimensions of
Hopefully this helps!