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If the perimeter of square region S and the perimeter of rectangular r
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27 Jan 2022, 08:16
27 Jan 2022, 08:16
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Question Stats:
50% (01:48) correct
50% (01:16) wrong based on 8 sessions
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If the perimeter of square region S and the perimeter of rectangular region R are equal and the sides of R are in the ratio 2:3 then the ratio of the area of R to the area of S
A. 25:16
B. 24:25
C. 5:6
D. 4:5
E. 4:9
A. 25:16
B. 24:25
C. 5:6
D. 4:5
E. 4:9
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
Re: If the perimeter of square region S and the perimeter of rectangular r
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27 Jan 2022, 08:23
27 Jan 2022, 08:23
1
Carcass wrote:
If the perimeter of square region S and the perimeter of rectangular region R are equal and the sides of R are in the ratio 2:3 then the ratio of the area of R to the area of S
A. 25:16
B. 24:25
C. 5:6
D. 4:5
E. 4:9
A. 25:16
B. 24:25
C. 5:6
D. 4:5
E. 4:9
Let's PLUG IN some values that meet the given conditions.
The sides of R are in the ratio 2:3
So, let the two sides have lengths 2 and 3.
This means the area of Region R = (2)(3) = 6
This means the ENTIRE perimeter of Region R is 2 + 2 + 3 + 3 = 10
The perimeters of square region S and rectangular region R are equal.
This means the perimeter of square region S is also 10
Since all 4 sides in a square are of equal length, each side must have length 2.5
So, the area of Region S = (2.5)(2.5) = 6.25
What is the ratio of the area of region R to the are of region S ?
We get: 6 : 6.25
Check the answer choices .... no matches. So, we need to take 6 : 6.25 and find an equivalent ratio.
If we multiply both parts by 4 we get: 24 : 25
So, the correct answer is B
Cheers,
Brent
gmatclubot
Re: If the perimeter of square region S and the perimeter of rectangular r [#permalink]
27 Jan 2022, 08:23
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