There is a hall 40 m in length and 30 m in breadth. There is verandah 5 m wide surrounding the hall on all the four sides out side. Find the area of the verandah.
Answers
↪Given:-
There is a hall 40 m in length and 30 m in breadth. There is verandah 5 m wide surrounding the hall on all the four sides out side.
↪To find out:-
•Area of verandah
↪Solution:-
➡️The hall is a rectangle. The hall and verandahs which is out side is bigger rectangle.
➡️Then length of bigger rectangle = 40 + 5 + 5
= 50 m
➡️Breadth of bigger rectangle = 30 + 5 + 5
= 40 m
➡️Area of hall and verandahs = 50 x 40
= 2000 m²
➡️Area of the hall = 40 x 30
= 1200 m²
➡️Area of verandahs = 2000 - 1200
= 800 m²
Given :-
Length of hall = 40m
Breath of hall = 30m
Verandah who covers the hall
= 5m each side
Solution :-
Area of Rectangle = Length * Breath
Length = 40m, Breath = 30m
Area of Hall = 40 * 30
Area of Hall = 1200m^2
Now,
Length of Verandah and hall = 40 + 5 + 5 = 50m
Breath of Verandah and hall = 30 +5 + 5 = 40m
Area of Verandah = length * Breath
Area of Verandah = 50 * 40
Area of hall and Verandah = 2000m^2
Area of verandah = Area of verandah and hall - Area of hall
Area of verandah = 2000 - 1200
Area of verandah = 800m^2
Formulas related to Rectangle :-
- Area of rectangle = Length * Breath
- Perimeter of rectangle = 2( L + B)
- Diagonal of rectangle = √l^2 + b^2