A 5-inch-by-7-inch photograph was cut to fit exactly

A 5-inch-by-7-inch photograph was cut to fit exactly into a 4-inch-by-6-inch frame. What is the area, in square inches, of the part of the photograph that was cut off?

1. 2
2. 10
3. 11
4. 12
5. 24

Answer

The correct answer is C.

The area of a rectangle is given by 

area = length × width

A = lw

The area of the picture before cutting is = 7(5) = 35 square inches.

The area enclosed by the frame is = 6(4) = 24 square inches.

Subtracting, 35 - 24 = 11 square inches must be cut off the picture to make it exactly fit into the frame.