Question

It costs a family $216 to refinish a wood floor. They want to refinish floor in a larger room. The ratio of lengths of corresponding sides 3/4. How much would it cost to refinish wood floor in a larger room?

Answer 1

I think it is Answer C

Answer 2

Option C. $384

Explanation:

Cost to refinish a wood floor is given as $216

Family has to refinish floor of a larger room and ratio of the corresponding sides of the rooms is
`(3)/(4)`.

Since sides are in the ratio of
`(3)/(4)` so area will be in the ratio of
`((3)/(4)) ^(2)=(9)/(16)`

Now ratio of the cost to refinish the rooms will be same as the ratio in their areas.

Let $x be the cost to refinish the larger room.

`(9)/(16)=(216)/(x)`

By cross multiplication

9x = (16)(216)

9x = 3456

x =
`(3456)/(9)`

x = $384

Therefore Option C is the answer.