Answer

Verified

414.9k+ views

**Hint:**In the above question, to find the area of the path we have to find the area of a park ABCD then we will add the width of path that is 3 m twice to find the length of PQ, in the same way we will find the width of QR by adding 3 m twice. We will find the area of PQRS. Then we will subtract the area of PQRS and the area of ABCD, we will get the area of the path.

**Complete step-by-step answer:**

Given,

Width of path running outside = 3 m

Length of rectangular park = 125 m

Breadth of rectangular park = 65 m

Area of rectangular park ABCD = length X breadth

$ = 125 \times 65 = 8,125{m^2}$.

Now, length of PQ = 125 + 3 + 3 = 131 m

Breadth of QR = 65 + 3 + 3 =71 m

$\text{Area of PQRS} = \text{length} \times \text{breadth}$

$ = 131 \times 71 = 9,301{m^2}$

Thus, the area of a path = Area of PQRS – Area of ABCD

$ = 9,301 - 8,125 = 1176{m^2}$.

Hence, the area of the path is $1176{m^2}$.

**So, the correct answer is “Option A”.**

**Additional Information:**

**Note:**Here you may notice that we have added 3 m twice to the length as well as breadth because (3m + 3m) is to cover both the sides of the length and breadth. First 3 m is for right side of the length of a rectangular park and second 3 m is for left side of the length of a rectangular park.Students should remember the formulas of area and perimeter of rectangle for solving these types of questions.

Recently Updated Pages

Which are the Top 10 Largest Countries of the World?

Differentiate between Shortterm and Longterm adapt class 1 biology CBSE

How do you find slope point slope slope intercept standard class 12 maths CBSE

How do you find B1 We know that B2B+2I3 class 12 maths CBSE

How do you integrate int dfracxsqrt x2 + 9 dx class 12 maths CBSE

How do you integrate int left dfracx2 1x + 1 right class 12 maths CBSE

Trending doubts

Difference Between Plant Cell and Animal Cell

Which are the Top 10 Largest Countries of the World?

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

Give 10 examples for herbs , shrubs , climbers , creepers

Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE

Name 10 Living and Non living things class 9 biology CBSE

The Buddhist universities of Nalanda and Vikramshila class 7 social science CBSE

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

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