A rectangle has same area as that of a square of side of 10 m. if the breadth of the rectangle is 8m, find the perimeter of the rectangle.
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Answer:
area of rectangle=area of square
l × b=S×S
l × 8=10×10
l=10×10/8
l=25/2
perimeter of rectangle=2×l+2×b
=2×25/2+2×8
=25+16
=41
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Given :
- A rectangle has same area as that of a square.
- Side of a square = 10 m
- Breadth of the rectangle = 8 m
- Let the length of the rectangle be x
_______________________________
To Find :
- Perimeter of the rectangle
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Solution :
According to the question:
★ Area of rectangle = Area of square
⇒ 8 × x = 10 × 10
⇒ 8x = 100
⇒ x = 100/8
⇒ x = 12.5
∴ Length of the rectangle = 12.5 m
Finding the perimeter of the rectangle:
★ Perimeter of the rectangle = 2( L + B )
→ Perimeter of the rectangle = 2(12.5 m + 8 m)
→ Perimeter of the rectangle = 2 × 20.5 m
→ Perimeter of the rectangle = 41 m
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