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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?

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 34 How much would it cos class=

Respuesta :

I think it is Answer C

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 [tex]\frac{3}{4}[/tex].

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

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.

[tex]\frac{9}{16}=\frac{216}{x}[/tex]

By cross multiplication

9x = (16)(216)

9x = 3456

x = [tex]\frac{3456}{9}[/tex]

x = $384

Therefore Option C is the answer.

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