Find the area of a rectangular box, if it's perimeter is 60m and length is 10m.
Answers
☆ Solution ☆
Given :-
The perimeter of the rectangular box is 60 m.
The length of the rectangular box is 10 m.
To Find :-
The area of the rectangular box.
Step-by-step-Explaination :-
Let,
The breadth of the rectangular box be b.
Now,
As we know that :-
Perimeter of the rectangle = 2 ( Length + Breadth )
Where,
The perimeter of the rectangular box = 60 m.
The length of the rectangular box = 10 m.
The breadth of the rectangular box = b.
Putting the respective value,
60 = 2 ( 10 + b )
60 = 20 + 2b
60/20 = 2b
30 = 2b
30/2 = b
15 = b
Hence,
The breadth of the rectangular box is 15 m.
Now,
As we know that :-
Area of the rectangle = Length × Breadth
Where,
The length of the rectangular box = 10 m.
The breadth of the rectangular box = 15 m.
Putting the respective value,
Area of the rectangle = 10 × 15
Area of the rectangle = 150
Hence,
The area of the rectangular box is 150 m².
Answer :-
Area of this rectangular box is 200m².
Given :-
Length of a rectangular box is 10m
Perimeter of rectangular box is 60m.
To Find :-
Area of that rectangular box
Solution :-
To calculate the area of the rectangular box we must know that ::
❍ Perimeter of a rectangle = 2( l + b )
❍ Area of a rectangle = l × b
Where,
- l denotes length
- b denotes breadth
Finding the breadth :-
- By substituting the values in the formula of finding the perimeter of a rectangle.
⤳ 60m = 2( 10m + b )
⤳ 10m + b = 60m/2
⤳ 10m + b = 30m
⤳ b = 30m - 10m
⤳ b = 20m
Finding the Area :-
- By substituting the values in the formula of finding area of a rectangle.
⤳ Area = 10m × 20m
⤳ Area = 200m²
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- Henceforth, area of this rectangular box is 200m²