Question

The area of the 4 walls of a room is 77 m². The length and breadth of the room are 7.5 m and 3.5 m respectively. Find the height of the room.

Answer 1

Given:
Length of the room = 7.5 m
Breadth of the room = 3.5 m
Area of the four walls = [2(l + b)h] sq. units.
= 77 m²
∴ 77 = [2(7.5 + 3.5)h]
⇒ 77 = [(2 $\times$ 11)h]
⇒ 77 = 22h
⇒ h = $\left(\frac{77}{22}\right)$ m = $\left(\frac{7}{2}\right)$ m = 3.5 m
∴ Height of the room = 3.5 m