Answer

Verified

385.8k+ 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.

Recently Updated Pages

How do you evaluate cos left dfrac13pi 12 right class 10 maths CBSE

How do you rewrite the inequality left 11 2x right class 10 maths CBSE

How do you solve 4 3x 025 class 10 maths CBSE

How do you find the zeros of x3 3x2 + 6x 18 class 10 maths CBSE

Consider the following statements in respect of the class 10 maths CBSE

How do you factor 2x3 + 3x2 8x 12 class 10 maths CBSE

Trending doubts

Difference Between Plant Cell and Animal Cell

Give 10 examples for herbs , shrubs , climbers , creepers

Fill the blanks with the suitable prepositions 1 The class 9 english CBSE

Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE

Write a letter to the principal requesting him to grant class 10 english CBSE

Change the following sentences into negative and interrogative class 10 english CBSE

Write the 6 fundamental rights of India and explain in detail

Name 10 Living and Non living things class 9 biology CBSE

The Equation xxx + 2 is Satisfied when x is Equal to Class 10 Maths