A landscaper has 125 tiles to build a square patio. The patio must have an area of at least 80 sq. Ft.

A what are the possible arrangements for the patio

B how many tiles were not used

The area of a square is given by multiplying the length and the width

Since the sides of a square are all equal, we will end up multiplying two numbers that are the same

We want the area of the patio to be in between 80 and 125

Think of the square numbers between 80 and 125

8 * 8 = 64

9 * 9 = 81

10 * 10 = 100

11 * 11 = 121

12 * 12 = 144

The possible numbers of tiles we could use is

81 tiles with 125 - 81 = 44 tiles left over

100 tiles with 125 - 100 = 25 tiles left over

121 tiles with 125 - 121 = 4 tiles left over