The length of a rectangle is 12 cm and its perimeter is 34 cm. Find the breadth and area of the
rectangle
Answers
AnswEr :-
- Breadth of the rectangle = 5cm
- Area of the rectangle = 60cm².
Given :-
- Length of a rectangle is 12cm and it's perimeter is 34cm.
To Find :-
- Breadth and area of the rectangle.
SoluTion :-
Let,
- Breadth of the rectangle be x
We know that the perimeter of a rectangle is
2 (l + b)
Where,
- l = length
- b = breadth
According to question :-
2 (l + b) = 34
→ 2 (12 + x) = 34
→ 12 + x = 17
→ x = 17 - 12
→ x = 5
We know that the area of a rectangle is
l × b
According to question :-
Area = 5 × 12
Area = 60cm²
Hence, breadth and area of the rectangle are 5cm and 65cm² respectively.
Answer :
›»› Breadth of the rectangle = 5 cm
›»› Area of the rectangle = 60 cm²
Given :
- Length of a rectangle = 12 cm
- Perimeter of a rectangle = 34 cm
To Find :
- Breadth of a rectangle = ?
- Area of a rectangle = ?
Required Solution :
To find the Breadth and Area of a rectangle, at first we need to consider Breadth be b cm, after that we will find Breadth and Area of a rectangle on the basis of conditions given above
Let ,
The Breadth of the rectangle be "b"
We can find Breadth of a rectangle by using the formula of perimeter of rectangle which says Perimeter = 2(length + breadth).
So let's find Breadth of rectangle !
⇛ Perimeter = 2(length + breadth)
⇛ 34 = 2(12 + b)
⇛ 34/2 = 12 + b
⇛ 17 = 12 + b
⇛ 17 - 12 = b
⇛ 5 = b
⇛ b = 5 cm
║Hence, the Breadth of a rectangle is 5 cm.║
After finding breadth, now we have Length and Breadth of a rectangle,
- Length of a rectangle = 12 cm
- Breadth of a rectangle = 5 cm
And we need to find Area of rectangle.
We can find Area of rectangle by using the formula of Area of rectangle which says Area = l × b.
Here,
- l is the Length of rectangle in cm.
- b is the Breadth of rectangle in cm.
So let's find Area of rectangle !
⇛ Area = l × b
⇛ Area = 5 × 12
⇛ Area = 60 cm²
║Hence, the Area of a rectangle is 60 cm².║