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

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,

$s = \sqrt{7056} \\ s =84 meter$

So the required side length is 84 meter .

Answer 2

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:

$25x^2=176400$

$x^2=\frac{176400}{25}$

$x^2=7056$

take square root of both sides

x=84

Hence final answer is 84 meter.