A square picture has a one-inch frame. If the area of the frame alone is 48 square inches, what is the area of the picture? Draw a picture to help with the question.

Answer 1

x: side of the picture

If the frame is 1in, then the side of the frame is: x+2

The area of the frame alone is:

(x+2) (x+2) - x*x = 48

x² + 4x + 4 - x² = 48

4x + 4 = 48

4x = 48 - 4

4x = 44

x = 44/4

x = 11 is the side of the picture

The area of the picture is 121 square inches