Question

A rectangular park is 35 m long and 20 m wide. A path 2.5 m wide is constructed outside
the park. Find the area of the path and the cost of constructing it at ₹ 150 per m2.

Answer 1

Answer:

300m² , 45000₹

Step-by-step explanation:

length of the park = 35m

breadth of the park = 20m

area of the park = l * b

= 35 * 20

= 700m²

the path is constructed outside

therefore, length of outer rectangle = length of inner rectangle (park) + 2(width of path)

= 35 + 2 * 2.5

= 35+ 5

= 40m

similarly breadth of outer rectangle = breadth of interior rectangle + 2( width of the path)

= 20+ 2 * 2.5

= 20+ 5

= 25m

Area of outer rectangle = length * breadth

= 40 * 25

= 1000m²

Now , area of the path = (area of outer rectangle)-( area of inner rectangle or park)

= 1000 - 700

= 300m². ans.

rate of constructing = ₹150/m²

total cost of constructing the path = total area of the path * rate of constructing it

= 300*150

= 45000₹. ans.