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If the areas of the 4 squares are 50,32,18 and 12
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01 Jun 2026, 11:25
01 Jun 2026, 11:25
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Question Stats:
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If the areas of the 4 squares are 50,32,18 and 12 , what is the ratio of the small shaded portion to the area of the large shaded portion?
Note: Figure not drawn to scale
GRE four squares.png [ 17.67 KiB | Viewed 405 times ]
A. 1:8
B. 1:6
C. 1:4
D. 1:3
E. 1:1
Note: Figure not drawn to scale
Attachment:
GRE four squares.png [ 17.67 KiB | Viewed 405 times ]
A. 1:8
B. 1:6
C. 1:4
D. 1:3
E. 1:1
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Re: If the areas of the 4 squares are 50,32,18 and 12
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05 Jun 2026, 06:49
05 Jun 2026, 06:49
Expert Reply
Explanation
To find the ratio of the small shaded portion to the large shaded portion, we need to calculate the individual area of each shaded region by subtracting the areas of the nested squares.
Let's label the four squares from largest to smallest based on their given areas:
Square 1 (Largest): = 50
Square 2: = 32
Square 3: = 18
Square 4 (Smallest): = 12
Find the Area of the Small Shaded Portion
Looking at the diagram, the small shaded portion is the ring formed between Square 3 and Square 4.
Area of Small Shaded Portion = \({Area}_3 - {Area}_4\)
\(18-12=6\)
The large shaded portion is the outermost ring, formed between Square 1 and Square 2.
Area 1 - Area 2 = 50-32=18
Calculate the Ratio
Now, we find the ratio of the small shaded area to the large shaded area:
Ratio = Small shaded area/large shaded area
\(\frac{6}{18} = \frac{1}{3}\)
Answer: D
To find the ratio of the small shaded portion to the large shaded portion, we need to calculate the individual area of each shaded region by subtracting the areas of the nested squares.
Let's label the four squares from largest to smallest based on their given areas:
Square 1 (Largest): = 50
Square 2: = 32
Square 3: = 18
Square 4 (Smallest): = 12
Find the Area of the Small Shaded Portion
Looking at the diagram, the small shaded portion is the ring formed between Square 3 and Square 4.
Area of Small Shaded Portion = \({Area}_3 - {Area}_4\)
\(18-12=6\)
The large shaded portion is the outermost ring, formed between Square 1 and Square 2.
Area 1 - Area 2 = 50-32=18
Calculate the Ratio
Now, we find the ratio of the small shaded area to the large shaded area:
Ratio = Small shaded area/large shaded area
\(\frac{6}{18} = \frac{1}{3}\)
Answer: D
gmatclubot
Re: If the areas of the 4 squares are 50,32,18 and 12 [#permalink]
05 Jun 2026, 06:49
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