Question

Paving

6.
A road 2 m broad surrounds a square park 4225 m² in area. Find the cost of
marbles each of 25 cm by 8 cm in size on the road at Rs 50 per piece of marble.​

Answer 1

Given :

A road 2 m broad surrounds a square park 4225 m² in area.

Size of marble is 25 cm by 8 cm.

Price of each marble is Rs 50.

To Find :

Total cost.

Solution :

Side of square road is :

`A^2 = 4225\ m^2\\\\A = 65\ m`

Area of road =
`4* 65* 2 \ m^2=520\ m^2`

Number of marbles required is :

`N = (A)/(a)\\\\N = (520* 10^4\ cm^2)/(200\ cm^2)\\\\N = 26000`

It is given that price per marble is Rs 50.

So, total price required is :

`P = Rs \ 50* 26000 \\\\P = Rs \ 13,00,000`

Hence, this is the required solution.