Suppose a floor is going to be tiled with square stone tiles that measure ½ foot on
each side. How many tiles are needed for a
rectangular floor that measures 14 ½ feet
long and 8 ½ feet wide?

Use pythagorean’s theorem and find the missing side lengths of the two smaller triangles and add them together
13^2 - 12^2 = 5
15^2 - 12^2 = 9
5+9 = 14
14 is the length of each side of the square
14^2 + 14^2 = 19.8
19.8 is the diagonal length of the inside if the square

Do what step by step?