Question

Juan is designing an exercise room in his house. How many square feet of rubber flooring will he need to cover the floor? The product is sold in whole square yards. How many square yards should he buy? Explain. 10 ft 3 ft 9 ft 13 ft The total area of the exercise room is 103 ft. This is also the total amount of rubber flooring that Juan must have. (Type a whole number.) The number of square yards equivalent to this total area is 11.4 square yards. (Round to the nearest tenth as needed.) Since rubber flooring is sold in whole sq. yards, Juan must purchase exactly square yards.

Answer 1

The amount of rubber flooring will be the area of the floor.

We can calculate the area as the sum of two rectangles:

Then, the area is:

`A=10\cdot4+9\cdot7=40+63=103ft^2`

We can convert this area into square yards as:

`A=103ft^2\cdot(\frac{1\text{ yd}}{3\text{ ft}})^2=103\cdot(1)/(9)\text{ yd}^2\approx11.44\text{ yd}^2`

As we have to purchase a whole number of square yards, we will buy the next integer greater than 11.44, that is 12 sq yd.

Answer:

The floor area is 103 square feet.

This is equivalent to 11.44 square yards.

He has to purchase 12 square yards of rubber floor.