If the perimeter of the rectangle is 400 cm and its length is 50 cm.Find its breadth.Also find its area.
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Answered by
1
Answer:
let
breadth = x
perimeter = 2( l+b)
400 = 2 ( 50 + x )
400 = 100 + 2x
2x = 400 - 100
2x = 300
x = 300/2
x = 150
Answered by
1
☆ Solution ☆
Given :-
- The perimeter of the rectangle is 400 cm.
- The length of the rectangle is 50 cm.
To Find :-
- The breadth of the rectangle.
- The area of the rectangle.
Step-by-step-Explaination :-
Let,
- The breadth of the rectangle be b .
Now,
As we know that :-
Perimeter of the rectangle = 2 ( Length + Breadth )
Where,
- The perimeter of the rectangle = 400 cm
- The length of the rectangle = 50 cm.
- The breadth of the rectangle = b
Putting the respective value,
400 = 2 ( 50 + b )
400 = 100 + 2b
400 - 100 = 2b
300 = 2b
300/2 = b
150 = b
Hence,
The breadth of the rectangle is 150 cm.
Now,
As we know that :-
Area of the rectangle = Length × Breadth
Where,
- Length of the rectangle = 50 cm.
- Breadth of the rectangle = 150 cm.
Putting the respective value,
Area of the rectangle = 50 × 150
Area of the rectangle = 7500
Hence,
The area of the rectangle is 7500 cm².
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