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

Question

https://gmatclub.com/forum/download/file.php?id=42490 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) shot17.jpg

Manick9 · Accepted Answer

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).

MikeScarn · Answer

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.

Gemelo90 · Answer

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.

akadiyan · Answer

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

PKN · Answer

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)

vaibhav1221 · Answer

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.

GMAT215 · Answer

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

Salsanousi · Answer

The total squares are 30

approx. 2 squares make 5,000 so 30/2 * 5,000 = 75,000.

The maximum possible is 75,000 and the area is definitely more than 50% of 75,000 so it has to be more than 35,000.

60/75 = 12/15 = 4/5 = 80%

4/5 = x/30

x = 24 square

So answer choice B is as close as it gets.

shinichikudo · Answer

The area of the black color is 5000 square yards.

According to the figure, this black color takes 2/6 <=> 1/3 the area of the square park.

So the area of the square park takes 2/3.

We have : 2/3 x 5000 = 10000/3 = approximately 33000 square yards.

So the closest area of the park is 45000 square yards.

Answer B.

AlN · Answer

@Buneul  GMATPrepNow  Is there a mechanism by counting the numberof half tiles and full tiles.

BrentGMATPrepNow · Answer

No, there's no perfect mechanism for that. I just combine fractional regions together and loosely estimate the total area as I go along.

IMPORTANT: the answer choices are VERY spread apart, which means you don't have to be super accurate in your estimation.

Here's what I mean: 
Once we recognize that the pond takes up 2 squares, we can conclude that  each square represents 2500 square yards

Now check out the answer choices.
Each answer choice is 15,000 square yards greater than the previous answer choice. 
Each square represents 2500 square yards, and 15,000/2,500 = 6
So, each answer choice is 6 SQUARES greater than the previous answer choice.

So, as long as you're somewhat accurate in your estimation, you should be fine. 
 
Cheers,
Brent

MHIKER · Answer

The pond is made of two squares

The park is made of 20 squares

Area for 2 squares is = 5000

The area of 20 squares  = \frac{5000}{2}*20=50,000

The answer is B

Bezzerk · Answer

Area of pond is 500 which is approx x*2x therefore x = 50

Total area of the square is 75000, eliminate d and e.

Now consider the bottom right 3x2, thats 150*100=15000, Subtracting we have 60000. eliminate c.

Next consider the only other section without the pond top right 2x1 thats 100*50= 5000 subtracting we have 55000.

Now observing the pond, we barely have any other open areas, therefore the closest we can get is 45k , Ans B.

CEdward · Answer

The way I approached this is first figure out the area of the entire grid --> 5000 x 3 x 5 = 75000

Then, find out how many fully white squares there are: 5000 x 3 = 15000

So obviously the area of the park is less than <75000

A is out because it's clear that the park > 30K

Between B and C....looks like B.

genericUser · Answer

Imagine something like this fig.png pond=2 square o each square = 2500 the full square count gives 19 full sqaure + 4 half square = 21 square 21*2500=52,500 this measure, as can be noted in the picture is highly approximated, so B should be correct

bumpbot · Answer

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

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