There is rectangle of Length 20cm. Its area is 200 sq.cm. Find its perimeter
Answers
Answer :
- Perimeter of rectangle is 60cm.
Given :
- Length of rectangle is 20cm
- Area is 200 cm²
To find :
- Perimeter of rectangle
Solution :
First we need to find the breadth of rectangle
Given
- Length of rectangle is 20cm
- Area is 200cm²
- Let the breadth of rectangle be b
We know that
- Area of rectangle = l × b
Where,
- l is length
- b is breadth
→ Area of rectangle = length × breadth
→ 200 = 20 × b
→ b = 200/20
→ b = 10
Breadth of rectangle is 10cm.
Finding the perimeter of rectangle :
- Length of rectangle is 20cm
- Breadth of rectangle is 10cm
We know that
- Perimeter of rectangle = 2(l + b)
Where,
- l is length of rectangle
- b is breadth of rectangle
→ Perimeter of rectangle = 2(l + b)
→ Perimeter of rectangle = 2(20 + 10)
→ Perimeter of rectangle = 2(30)
→ Perimeter of rectangle = 60cm
Hence , Perimeter of rectangle is 60cm.
Area of a rectangle is given to be 200 cm²
Also, the length of the rectangle is 20cm
We will first find the breadth of the rectangle
area of rectangle = length × breadth
200 = 20 × breadth
breadth = 200/20
= 10 cm
We have to find the perimeter of the rectangle
perimeter = 2( length + breadth)
= 2( 20 + 10 )
= 60 cm
Hence, the perimeter of the rectangle will be 60 cm