The perimeter of a rectangle is 180 cm. if its
breadth is 55cm, find its length also find
the area.
Answers
Answered by
5
Answer:
P = 2(a+b)
180 = 2(a+55)
180 = 2a+110
180-110 = 2a
70 = 2a
a = 70 ÷ 2
a = 35 cm
length = 35 cm
area = L × B
area = 35 × 55
area = 1925 cm2
Answered by
6
☆ Solution ☆
Given :-
- The perimeter of a rectangle is 180 cm.
- The breadth of a rectangle is 55 cm.
To Find :-
- The breadth of the rectangle.
- The area of the rectangle.
Step-by-Step-Explaination :-
Let the Length be l
As we know that :-
Perimeter of rectangle = 2 ( l + b )
Where,
- Perimeter of rectangle = 180 cm
- Length of rectangle = l cm
- Breadth of rectangle = 55 cm
Putting the respective value,
180 = 2 ( l + 55 )
180/2 = l + 55
90 = l + 55
l = 90 - 55
l = 35
Thus,
Length of rectangle = 35 cm
Now,
As we know that :-
Area of rectangle = l × b
Where,
- Length of rectangle = 35 cm
- Breadth of rectangle = 55 cm
Putting the respective value,
Area of rectangle = 35 × 55
Area of rectangle = 1,925
Thus,
Area of rectangle = 1,925 cm²
Hence Solved !
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