Question

3. The floor of a daycare center is a rectangle that is 36

feet by 27 feet. The floor needs to be covered by foam
mats. Each foam mat measures 3 feet by 3 feet.
How many foam mats are needed to completely cover
the floor with no overlaps?

Answer 1

108 mats

Explanation:

You want to know how many 3 ft by 3 ft mats are required to cover the 36 ft by 27 ft floor of a daycare center.

Dimensions

In the 36 ft direction, a total of 36/3 = 12 mats will fit.

In the 27 ft direction, a total of 27/3 = 9 mats will fit.

Area

The floor can be covered by a rectangular array of mats that is 12 mats in one direction and 9 mats in the other direction. The total number of mats in the array is ...

A = LW = (12)(9) = 108 . . . . mats

108 foam mats are needed to cover the floor.