A rectangle has same area as that of a square of side 10m. if the breadth of the rectangle is 8m , find the perimeter of the rectangle.
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63
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:
The length of the side of a square = 10 m
The breadth of the rectangle = 8 m
To find:
The perimeter of the rectangle.
Solution:
Let us first find the area of the square. The area of the square will be;
= 10 × 10 = 100 m²
If the area of the square is equal to the area of the rectangle, then:
Length × 8 = 100
Length = 12.5 m
Thus, the perimeter of the rectangle will be:
= 2 (length + breadth)
= 2(12.5 + 8)
= 2× 20.5
= 41 m
Therefore, the perimeter of the rectangle is 41 m.
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