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

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.

$\frac{9}{16}=\frac{216}{x}$

By cross multiplication

9x = (16)(216)

9x = 3456

x = $\frac{3456}{9}$

x = $384

Therefore Option C is the answer.

Answer 2

I think it is Answer C