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?

Question

asked Dec 22, 2019 101k views

2 Answers

Dbeer · Answer 1 · 2019-12-22T22:52:14+0000

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.

Greg Little · Answer 2 · 2019-12-28T11:57:24+0000

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 .