Question

Surface of a square wall is paved with tiles.The total expenditure at the rate Rs 25 per sq.m is RS.1 76 400.What is the length of each side of the wall?

Answer 1

Let the length of the side of the square wall = x meter

We know that area of the square
`= x^2`, where x is the side of the wall

Given that rate of expenditure for 1 square meter of the wall = 25 rupees

Then total expenditure on
`x^2` meter of the wall
`= 25x^2`

Given that total expenditure on the wall = 176400 rupees

Then both expressesions for the expenditure will be equal and we get equation:

`25x^2=176400`

`x^2=(176400)/(25)`

`x^2=7056`

take square root of both sides

x=84

Hence final answer is 84 meter.

Answer 2

It is given in the question that

Surface of a square wall is paved with tiles.The total expenditure at the rate Rs 25 per sq.m is RS.1 76 400.

Let the side be of length s meter .

And area of square is

`Area = s^2`

So according to question ,

`25s^2 = 176400`

Dividing both sides by 25

`s^2 = 7056`

Taking square root to both sides,

`s = √(7056) \\ s =84 meter`

So the required side length is 84 meter .