Grade 7 - Mathematics 9.43 Area of the Four Walls of a Room - III

Example:
The total area of the four walls of a hall is 216 square metres. Its height is 8 metres. If the floor of the hall is in the shape of square, find the area of the floor.

Solution:
Given that,
Total area of the four walls (A) = 216 square metres.
Height (h) = 8 metres.
Equation for the above problem A = 4lh
Now l = A/4h
l = 216/(4*8) = 6.75 metres
Each side of the floor = 6.75 metres.
Therefore, area of the floor = 6.75 * 6.75
= 45.5625 square metres.

Directions: Read the above example carefully and answer the following questions:

The total area of the four walls of a hall is 28x sq units. Its height is x units. If the floor of the hall is in the shape of a square, find the area of the floor.
(Answer:- 49 square metres)