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7. The length of a rectangle is 2 more than 3 times its breadth. If both length and breadth are increased by
3 units, the new perimeter becomes 2 times the original. Find the length and breadth of the rectangle
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Step-by-step explanation:
Let breadth be x
thus length is 3x+2
perimeter=2(x+3x+2)=2(4x+2)=8x+4
New breadth=x+3
New length=3x+5
New perimeter=2(x+3+3x+5)
=8x+16
the new perimeter is 2 times the original
2(8x+4)=8x+16
16x+8=8x+16
8x=8
x=1
Breadth=1
Length=3×1+2=5
Hope everything is clear.
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