Question

if L={3x+10}m, B={2x+5}m and area of 4 walls= {60x+180}sq.units, then the height of the room is

Answer 1

I hope this may help you

Answer 2

Answer: 6 meters

Step-by-step explanation:

Length =3x+10m

Breadth= 2x+5m

Let understand a formula here

Area of room = (2*length*breadth)*(2*length*height)*(2*breadth*height)

Area of 4walls = 2lh+2bh

Given that area of 4walls = 60x + 180sq.units

2lh + 2bh = 60x+180

2h(l+b) = 60x +180

2h( 3x+10+2x+5) = 60x +180

2h( 5x+15) = 60x + 180

We can use distributive property for 60x+ 180. I am taking common factor as 12.

2h ( 5x + 15) = 12(5x+ 15)

5x +15 will be cancelled on both sides of the equation.

2h = 12

h =6

Therefore the height of the room = 6 meters

Hope this will help