Question

A rectangular grassy plot is 112 m long and 78 m broad. It has a 2
m wide gravel path all around it on the inside. Find the area of the
path and the cost of constructing it at Rs 120 per m2.​

Answer 1

Answer:

We know that, Inner area of rectangle

= length × breadth Inner area of rectangle

= 112 × 78 = 8736 m2

Width of path = 2.5 m

Length of outer rectangle = 112 – (2.5 + 2.5) = 107 m Breadth of outer rectangle = 78 – (2.5 + 2.5) = 73 m And, Outer area of rectangle = length × breadth Outer area of rectangle = 107 × 73 = 7811 m2

Now let’s calculate Area of path,

Area of path = Outer area of rectangle – Inner area of rectangle Area of path

= 8736 – 7811

= 925 m2

Also given that, Cost of construction for 1 m2 = Rs 4.50

∴ Cost of construction for 925 m2

= 925 × 4.50

= Rs 4162.5

hope it's helpful to you

thnku !