Question

the area of four walls of room is 90 metre square if the room is 7 metre long and 2 metre wide find the height of the room​

Answer 1

Answer:

Height of the room is 5 cm.

Step-by-step explanation:

Given:

Four walls of the room means lateral surface area.

We assume the room to be Cuboid as most rooms are in the

form of a Cuboid.

Lateral Surface area of the Room = 90 $m^{2}$

Length of the Room = 7 meters

Breadth of the Room = 2 meters

Formula to find the Lateral Surface area of a Cuboid = 2h(l + b)

Substituting the values known to us in the Formula used to find the Lateral Surface Area of the Cuboid:

=> 2h(l + b)

=> 2h(7 + 2) = 90

=> 2h(9) = 90

=> 9h = 90 / 2 = 45

=> 9h = 45

=> h = 45 / 9 = 5

=> 5 cm

Therefore, Height of the room is 5 cm.

Answer 2

SOLUTION:-

Given:

The area of four walls of room is 90m².If the room is 7m long & 2m wide.

To find:

The height of the room.

Explanation:

We have,

• The room of length is 7m.

• The room of wide is 2m.

• Area of the four wall of room is 90m²

Formula of the area of the four walls:

⇒[Area of the base] + [Area of ceiling]

⇒[Length × breadth] + [Length × breadth]

⇒2[l×b]

Area of the four walls of the room= 2[l+b}×h

According to the question:

⇒ 2[7m + 2m] ×h=90m²

⇒ 2[9m] ×h=90m²

⇒ 18m ×h =90m²

⇒ h=$\frac{90m^{2} }{18m}$

⇒ h= 5m

Thus,

The height of the room is 5m.