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If the areas of the 4 squares are 50, 32, 18 and 12, what is the ratio

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If the areas of the 4 squares are 50, 32, 18 and 12, what is the ratio  [#permalink]

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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

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Originally posted by adkikani on 10 Dec 2017, 18:36.
Last edited by adkikani on 16 Mar 2018, 20:14, edited 4 times in total.
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Re: If the areas of the 4 squares are 50, 32, 18 and 12, what is the ratio  [#permalink]

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New post 10 Dec 2017, 18:40
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adkikani wrote:
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?

Note: Figure not drawn to scale

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

Attachment:
Capture.JPG



Area of the external shaded square = 50-32=18
Area of the internal shaded region =18-12=6

Ratio = 6/18=1/3
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Re: If the areas of the 4 squares are 50, 32, 18 and 12, what is the ratio  [#permalink]

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New post 24 Nov 2019, 07:25
adkikani wrote:
Attachment:
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


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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Re: If the areas of the 4 squares are 50, 32, 18 and 12, what is the ratio   [#permalink] 24 Nov 2019, 07:25
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