Answer
397.2k+ views
Hint: We have to calculate the area of the remaining portion shown in the above figure. Firstly find the area of whole field whose dimension is \[70m \times 50m\], then calculate the area of the portion covered by either park, lawn, pool or car parking then simply multiply the area obtained by four as it is given that the area of all figure is same or separately calculate their area and then add. Then to find the area of the remaining uncovered portion subtract their total area from the area of the field whose dimension is \[70m \times 50m\].
Complete step-by-step solution:
Given that the dimension of the field is \[70m \times 50m\].
We know that the area of the rectangular field $ = length \times breadth$
So, the area of the field $ = 70m \times 50m = 3500{m^2}$
Now, we have to calculate the area of either park, pool, lawn or car parking.
Area of rectangular lawn $ = 30m \times 20m = 600{m^2}$.
It is given that the area of car parking, lawn, pool and park are equal. So, the total covered area is four times the area of the lawn.
So, total covered area $ = 4 \times 600{m^2} = 2400{m^2}$
Now, the area of the remaining portion $ = 3500{m^2} - 2400{m^2} = 1100{m^2}$.
Thus, we obtained the area of the remaining portion of the field as $1100{m^2}$.
Note: Area of any closed figure is always expressed in square units.
This can be alternatively solved by
We can get the dimension of the remaining horizontal portion simply by studying the figure which is $70m \times 10m$ and similarly the dimension of the vertical portion is $10m \times 50m$. Then find their total area. Since the area at the intersection of horizontal and vertical portion is added twice, find the area of intersection and subtract it from the total area to get the required area.
Complete step-by-step solution:
Given that the dimension of the field is \[70m \times 50m\].
We know that the area of the rectangular field $ = length \times breadth$
So, the area of the field $ = 70m \times 50m = 3500{m^2}$
Now, we have to calculate the area of either park, pool, lawn or car parking.
Area of rectangular lawn $ = 30m \times 20m = 600{m^2}$.
It is given that the area of car parking, lawn, pool and park are equal. So, the total covered area is four times the area of the lawn.
So, total covered area $ = 4 \times 600{m^2} = 2400{m^2}$
Now, the area of the remaining portion $ = 3500{m^2} - 2400{m^2} = 1100{m^2}$.
Thus, we obtained the area of the remaining portion of the field as $1100{m^2}$.
Note: Area of any closed figure is always expressed in square units.
This can be alternatively solved by
We can get the dimension of the remaining horizontal portion simply by studying the figure which is $70m \times 10m$ and similarly the dimension of the vertical portion is $10m \times 50m$. Then find their total area. Since the area at the intersection of horizontal and vertical portion is added twice, find the area of intersection and subtract it from the total area to get the required area.
Recently Updated Pages
How many sigma and pi bonds are present in HCequiv class 11 chemistry CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Why Are Noble Gases NonReactive class 11 chemistry CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Let X and Y be the sets of all positive divisors of class 11 maths CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Let x and y be 2 real numbers which satisfy the equations class 11 maths CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Let x 4log 2sqrt 9k 1 + 7 and y dfrac132log 2sqrt5 class 11 maths CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Let x22ax+b20 and x22bx+a20 be two equations Then the class 11 maths CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Trending doubts
Fill the blanks with the suitable prepositions 1 The class 9 english CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
At which age domestication of animals started A Neolithic class 11 social science CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Which are the Top 10 Largest Countries of the World?
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Give 10 examples for herbs , shrubs , climbers , creepers
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Difference Between Plant Cell and Animal Cell
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Write a letter to the principal requesting him to grant class 10 english CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Change the following sentences into negative and interrogative class 10 english CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Fill in the blanks A 1 lakh ten thousand B 1 million class 9 maths CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)