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?

Option C. $384

Step-by-step 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 .

Since sides are in the ratio of so area will be in the ratio of

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.

By cross multiplication

9x = (16)(216)

9x = 3456

x =

x = $384

Therefore Option C is the answer.

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step-by-step explanation:

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