Question

A floor of a room is in the shape of a rectangle. It is to be covered with square tiles. The area of each square tile is 100 square inches.

If the length of the floor is 20 feet and the width is 10 feet, how many square tiles are needed to cover the floor?

Answer 1

we know the area of each tile
we need to find the area of the room so we can find how many tiles are needed


area=legnth times width
legnth=20
widht=10

notice that the area of the tiles is in inches and the area of the room is in feet so convert to inches
1 foot=12 inches
20 feet=12 times 20 inches=240 inches
10 feet=12 times 10=120 inches

legnth=240 inches
widht=120 inches
area=240 times 120
area=28800

how many 100 in^2 tiles will make 28800 in^2
how many tiles times 100 in^2=28800 in^2
divide both sides by 100in^2
how many tiles=288
answer is 288 tiles needed