Question

Q.3. A path 5m wide runs along inside a square park of side
400m. Find the area of the path. Also find
the cost of cementing it at the rate of Rs.40 per meter.​

Answer 1

Answer:

Given inner side of square park, s=100 cm 

Area of inner square =1002=10000 cm2

width of path,w=5 cm

Outer side of square =100+5+5=110 cm 

Area of outer square =1102=12100 cm2 

Area of path =12100−10000=2100 cm2

Cost of cementing at the rate of Rs 250 per 10 sq cm = Rs 250×210= Rs 52500

∴ Cost of cementing a 2100 cm2 path =Rs. 52500

Answer 2

Area of square= side × side

side= 400m

= 400×400

= 1,60,000

Area of the path= side × side

side= 5m

= 5×5

= 25m

Cost of cementing at rate 1 per meter= Rs. 40 per meter

Cost of cementing it at the rate of 25 per meter= 40×20

= Rs. 800

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