A hall is 16 metres long, 14 metres broad and 10 metres high. Each wall has a door 5 metres long and 4 metres wide and a window 3 metres long and 2 metres wide. Find the area of the four walls of the room.
Answers
Step-by-step explanation:
First of all, We will find out the areas of any windows or doors in the room.
Length(door)= 5m
Breadth(door)= 4m
∴ The Area of door= length × breadth
= 5m × 4m
= 20 m square × 4 (as the question says that each wall has a door)
= 80 m square
Length(window)= 3m
Breadth(window)= 2m
∴ The Area of window= length × breadth
= 3m × 2m
= 6 m square × 4 (as the question says that each wall has a window)
= 24 m square
Now, we'll find the area of the 4 walls:-
Length= 16 m
Breath= 14 m
Height= 10 m
∴ The Area of 4 walls = height × 2(length + breadth)
= 10 m × 2(16 m + 14 m)
= 10m × 60m
= 600 m sqaure
∴ The Area of the 4 walls = Area of 4 walls- (The Area of door + The Area of windows)
= 600 m sq. - (80m sq. + 24m sq.)
= 600 m sq. - 104m sq.
= 496 m sq.