Question

a rectangular grassy plot is 75 metre long and 60 metre broad it has a path of with 2 metre all around it on the inside find the area of the path and the cost of constructing it at rs 125 per square metre ​

Answer 1

Answer :-

• The area of path = 274m²
• The cost of constructing the path at Rs. 125 per square metre = Rs. 32450

Step-by-step explanation :-

To Find,

• The area of the path
• The cost of constructing it at Rs. 125 per square metre

Solution,

Given that,

• The rectangular grassy plot is 75m long and 60m broad
• The path is of 2m wide

As we know that,

Area of rectangle = l × b

Where,

• l = Length
• b = Breadth

Therefore,

Area of the plot without the path

➮ ( 75 × 60 ) m²

➮ 4500 m² ★

Area of the plot with path

➮ 75 + 2 × 60 × 2

➮ 77 × 62

➮ 4774 m² ★

Therefore, Area of the plot with path - Area of the plot without path = Area of path

➮ 4774m² - 4500m²

➮ 274m² ★

Hence, the area of path is 274m².

Now, the cost of constructing the path at Rs. 125 per square metre is,

➮ 274 × 125

➮ 34250 ★

Hence, the cost of constructing the path at Rs. 125 per metre square is Rs. 34250.