Source: Magoosh
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
The OA is D
If the areas of the 4 squares are 50, 32, 18, and 12, what
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The area of the small shaded portion = 18 - 12 = 6;
The area of the large shaded portion = 50 - 32 = 18;
Thus, the ratio of the area of the small shaded portion to the area of the large shaded portion = 6 : 18 = 1 : 3
The correct answer: D
Hope this helps!
-Jay
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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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