Question

an auditorium is 46 m long and 3m broad the area of its door and window is 50sq meter find the height of the auditorium if the cost of preparing the wall is 5000 at 9per square meter.

Answer 1

500000000000000000000

Answer 2

The height is 2.85 meter.

Step-by-step explanation:

Given : An auditorium is 46 m long and 3 m broad the area of its door and window is 50 sq meter.

To find : The height of the auditorium if the cost of preparing the wall is 5000 at 9 per square meter?

Solution :

Total cost = Area × Rate

The wall is 5000 at 9 per square meter.

i.e. $5000=\text{Area}\times 9$

$\text{Area}=\frac{5000}{9}$

An auditorium is 46 m long and 3 m broad.

Let the height be h.

The area of the window is given by,

$A=2(lb+bh+hl)$

$\frac{5000}{9}=2(46\times 3+3\times h+h\times 46)$

$\frac{5000}{9}=2(138+3h+46h)$

$\frac{5000}{9}=276+98h$

$\frac{5000}{9}-276=98h$

$98h=\frac{5000-2484}{9}$

$98h=\frac{2516}{9}$

$h=\frac{2516}{9\times 98}$

$h=2.85$

Therefore, the height is 2.85 meter.

#Learn more

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