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The rug in Diana's dining room is 216 inches by 240 inches. She wants to put a similar-sized rug in her living room. What size rug would be similar to the dining room rug?

A. 84 inches by 96 inches
B. 108 inches by 110 inches
C. 96 inches by 118 inches
D. 72 inches by 80 inches

I"LL GIVE BRAINLIEST!!!!

Respuesta :

763396

Answer:

D

Step-by-step explanation:

In order for the rug to be similar to the first rug, the measurements must have the same ratio as the original measurements.

Longer over shorter: 240/216 = 10/9

Let's look at A: 96/84 = 8/7 (NOT 10/9)

Let's look at B: 110/108 = 55/54 (NOT 10/9)

Let's look at C: 118/96 = 59/48 (NOT 10/9)

Let's look at D: 80/72 = 10/9 (= 10/9)

D is similar

Hope this helps!

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