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In the figure shown, a square grid is superimposed on the map of a par

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In the figure shown, a square grid is superimposed on the map of a par  [#permalink]

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New post 01 Aug 2018, 11:33
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In the figure shown, a square grid is superimposed on the map of a park, represented by the shaded region, in the middle of which is a pond, represented by the black region. If the area of the pond is 5,000 square yards, which of the following is closest to the area of the park, in square yards, including the area of the pond?


A. 30,000
B. 45,000
C. 60,000
D. 75,000
E. 90,000


NEW question from GMAT® Quantitative Review 2019


(PS11692)


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In the figure shown, a square grid is superimposed on the map of a par  [#permalink]

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New post Updated on: 02 Aug 2018, 04:36
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Area of the park is represented by the grey color shaded area which is about 20 squares. Since, we know area of 2 squares = 5000, total area of park is 5000 * 10 = ~ 50,000.

Therefore, option B (45,000).
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Originally posted by Manick9 on 01 Aug 2018, 21:58.
Last edited by Manick9 on 02 Aug 2018, 04:36, edited 1 time in total.
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Re: In the figure shown, a square grid is superimposed on the map of a par  [#permalink]

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New post 01 Aug 2018, 12:11
There are 30 little squares in total. Since two little squares have an area 5.000, 30 little squares have an area of 75.000. Hence answer D.
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Re: In the figure shown, a square grid is superimposed on the map of a par  [#permalink]

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New post 01 Aug 2018, 17:33
The area of pond covers 2 squares which is 5000 yards. The total area consists of 30 squares. Hence the total area is approximately equals to 75000.

Ans D
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Re: In the figure shown, a square grid is superimposed on the map of a par  [#permalink]

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New post 02 Aug 2018, 04:33
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Bunuel wrote:
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In the figure shown, a square grid is superimposed on the map of a park, represented by the shaded region, in the middle of which is a pond, represented by the black region. If the area of the pond is 5,000 square yards, which of the following is closest to the area of the park, in square yards, including the area of the pond?


A. 30,000
B. 45,000
C. 60,000
D. 75,000
E. 90,000


NEW question from GMAT® Quantitative Review 2019


(PS11692)

Attachment:
shot17.jpg


I just "eyeballed it" and got B. Each square is 2,500 yards. The answer choices were spread out enough, so I just counted how many squares there were. I got roughly 18 squares. So for easier math I rounded up to 20 and did 20*2500=50,000. Closest answer is B.

Took me about 1:15min.
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Re: In the figure shown, a square grid is superimposed on the map of a par  [#permalink]

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New post 05 Aug 2018, 00:09
Given:- Area of pond=5,000 square yards
Question stem:- Approximated area of park(Shaded region-grey in color)=Area of rectangular grid-Area of Un-shaded region?
Observations:-
1. Total nos. of squares in the rectangular grid=No of vertical squares*No of horizontal squares=6*5=30
2. Pond(depicted in black) covers 2 squares approx.

Let the side of each smallest identical square be 'a' yard.
So, area of pond=\(a^2+a^2=2a^2=5000\)
Or, area of each square=\(a^2=2500\)
Or, \(a=\sqrt{2500}=50 yards\)
Now, area of rectangular grid=no of squares*area of one square=30*2500=75,000 sq. yards

Refer the enclosed diagram, we have 7 nos(approx.) of full squares, 6 nos(approx.) of half-squares, and 8 nos negligible areas(may be approximated to one square).

So, area of un-shaded region=\(7a^2+6*(\frac{a^2}{2})+a^2=7*2500+3*2500+2500=17500+7500+2500=27500\) sq. yards
Hence the approximated area of park=(75000-27500)sq. yards=47500 sq. yards

Among the answer options, 45000 sq. yards is the closest.

Ans. (B)
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Re: In the figure shown, a square grid is superimposed on the map of a par  [#permalink]

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New post 05 Aug 2018, 01:07
Bunuel wrote:
Image
In the figure shown, a square grid is superimposed on the map of a park, represented by the shaded region, in the middle of which is a pond, represented by the black region. If the area of the pond is 5,000 square yards, which of the following is closest to the area of the park, in square yards, including the area of the pond?


A. 30,000
B. 45,000
C. 60,000
D. 75,000
E. 90,000


NEW question from GMAT® Quantitative Review 2019


(PS11692)


Attachment:
shot17.jpg


Area of pond = 5000
Area of pond in terms of grids = 2
Area of 1 grid = \(\frac{5000}{2}\) \(= 2500\)

30 squares in total. So total area of grid = \(30*2500 = 75000\)
In the bottom right corner, 5 squares are not shaded.
REMEMBER: WE NEED TO FIND OUT THE AREA OF THE PARK AND NOT OF THE GRID
I do this question by subtracting the approximate area of the non shaded portion from 75000 (the area of the grid)
Fully shaded/ partly shaded area = 25*2500 = 62500

The only Options left are A and B.
To rule out A,
\(x*2500 = 30000\)
\(x= 12\)

This means that 12 is the area of the park in terms of the squares in the grid i.e. 12 squares. This seems very less because around 10 squares are fully covered (Including the pond) and a lot partly which would add up to more than 12. Thus B is the best answer choice.
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Re: In the figure shown, a square grid is superimposed on the map of a par  [#permalink]

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New post 08 Aug 2018, 01:02
Gemelo90 wrote:
There are 30 little squares in total. Since two little squares have an area 5.000, 30 little squares have an area of 75.000. Hence answer D.



pond 5000 sq yard with 2 blocks.. so per block 2500 sq yard.

apprx. 11 blocks equivalent area is white.. left is 19

19*2500 = 47500

nearest figure from options is 45000

i.e. B
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Re: In the figure shown, a square grid is superimposed on the map of a par &nbs [#permalink] 08 Aug 2018, 01:02
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