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# A community park has two rectangular playgrounds—a little one for chil

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Math Expert
Joined: 02 Sep 2009
Posts: 59587
A community park has two rectangular playgrounds—a little one for chil  [#permalink]

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18 Feb 2019, 04:24
00:00

Difficulty:

45% (medium)

Question Stats:

46% (01:14) correct 54% (01:14) wrong based on 26 sessions

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A community park has two rectangular playgrounds—a little one for children younger than age 5, and a larger one for children aged 5 and older. The larger playground is twice as long and five times as wide as the smaller playground. If the area of the small playground is M, then, in terms of M, the area of the larger playground is how much larger than the area of the smaller playground?

A. 2M
B. 5M
C. 9M
D. 10M
E. 11M

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A community park has two rectangular playgrounds—a little one for chil  [#permalink]

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Updated on: 18 Feb 2019, 05:21
Bunuel wrote:
A community park has two rectangular playgrounds—a little one for children younger than age 5, and a larger one for children aged 5 and older. The larger playground is twice as long and five times as wide as the smaller playground. If the area of the small playground is M, then, in terms of M, the area of the larger playground is how much larger than the area of the smaller playground?

A. 2M
B. 5M
C. 9M
D. 10M
E. 11M

small ground length ; l and width ;w
so
large ground ; 2l and width 5 w
given l*w = M
so
2l * 5w = 10 * l* w
10 M
difference 10M-M= 9M
IMO C

Originally posted by Archit3110 on 18 Feb 2019, 04:45.
Last edited by Archit3110 on 18 Feb 2019, 05:21, edited 1 time in total.
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Re: A community park has two rectangular playgrounds—a little one for chil  [#permalink]

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18 Feb 2019, 05:08

Small PG = LB

Big PG = 2L*5B
= 10 LB

So the difference = 10M-M = 9M

So the Bigger one is 9M larger than the smaller one .
Re: A community park has two rectangular playgrounds—a little one for chil   [#permalink] 18 Feb 2019, 05:08
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