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?

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marco12martin12 marco12martin12 · Answer 1 · 2018-04-09T01:33:10-04:00

I think it is Answer C

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eudora eudora · Answer 2 · 2019-05-11T02:10:43-04:00

Answer:

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 $\frac{3}{4}$.

Since sides are in the ratio of $\frac{3}{4}$ so area will be in the ratio of $(\frac{3}{4}) ^{2}=\frac{9}{16}$

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.

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By cross multiplication

9x = (16)(216)

9x = 3456

x = @@MATH_TOKEN_4@@

x = $384

Therefore Option C is the answer.