a room is 6 m long and 5 m wide lt has a 50 cm wide verandah all around it calculate the area of the verandah ?
Answers
Answer:
Let the width be x m
Outer area = ( 5 + 2x ) ( 4 +2x )
Inner Area = 5 X 4 = 20
Area of verandah = ( 5 + 2x ) ( 4 + 2x) - 20 = 22 m^2
20 + 8x + 10x + 4x^2 - 20 = 22
4x^2 +18x - 22 = 0
2x^2 +9x - 11 = 0
2x^2 -2x +11x - 11 = 0
2x ( x -1) + 11( x-1) = 0
( 2x +11) ( x-1) = 0
Rejecting the negative value , x = 1
ANSWER 1 meter
CHECK
7 X 6 = 42
5 X 4 = 20
SUBTRACT = 22 m^
Step-by-step explanation:
Answer :-
- The area of the verandah is 12m².
Step-by-step explanation :
To Find :-
- The area of verandah
Solution :-
Given that,
- Length of the room = 6m
- Breadth of the room = 5m
- The room has 50cm wide verandah around the room.
Firstly, we need to convert 50cm to m.
=> 50cm = 0.5m
Therefore,
Length of the room = 6m
Breadth of the room = 5m
The area of the room is,
=> Area = Length × Breadth
=> Area = ( 6 × 5 )m²
=> Area = 30m²
Now,
Length of the room including the verandah
=> [ 6 + ( 0.5 + 0.5 ) ]m
=> ( 6 + 1 ) m
=> 7m
Breadth of the room including the verandah
=> [ 5 + ( 0.5 + 0.5 ) ]m
=> ( 5 + 1 )m
=> 6m
Therefore,
Area of the room including the verandah
=> 7m × 6m
=> ( 7 × 6 )m²
=> 42m²
According the question,
The area of verandah is,
=> Area of the room with verandah - Area of the room
=> 42m² - 30m²
=> ( 42 - 30 )m²
=> 12m²
- The area of the verandah is 12m².