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If the areas of the 4 squares are 50, 32, 18, and 12, what is the ratio of the area of the small shaded portion to...

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by AAPL » Thu Nov 05, 2020 6:21 pm

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Magoosh
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If the areas of the 4 squares are 50, 32, 18, and 12, what is the ratio of the area of the small shaded portion to the area of the large shaded portion?

A. 1:8
B. 1:6
C. 1:4
D.1:3
E. 1:1

OA D
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Re: If the areas of the 4 squares are 50, 32, 18, and 12, what is the ratio of the area of the small shaded portion to..

by Scott@TargetTestPrep » Tue Nov 10, 2020 6:09 am
AAPL wrote: ↑
Thu Nov 05, 2020 6:21 pm
 Magoosh

Capture.JPG
Note: Figure not drawn to scale.

If the areas of the 4 squares are 50, 32, 18, and 12, what is the ratio of the area of the small shaded portion to the area of the large shaded portion?

A. 1:8
B. 1:6
C. 1:4
D.1:3
E. 1:1

OA D
Solution:

The area of the large shaded portion is the difference of the areas of the largest and the second largest squares. That area is 50 - 32 = 18.

The area of the large shaded portion is the difference of the areas of the third largest and the smallest squares. That area is 18 - 12 = 6.

Therefore, the ratio of the area of the small shaded portion to the area of the large shaded portion is 6/18 = 1/3.

Answer: D

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