Question

20 POINTS!!!

A square picture with sides of 32 inches is to be mounted on a square mat with sides of 52 inches. Find the area of the mat that will remain uncovered by the picture.

Answer 1

Step-by-step explanation: this problem will result in difference of two squares.

Firstly since they are both areas, it will be area of the bigger square minus area of the smaller squares.

52² - 32²= (52+32)(52-32)

= (84)(20)

=1680inch².

Therefore the area of the material that will remain uncovered will be

1680inches²