The perimeter of rectangular is two times of the sum of its length and breadth.
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Let the length be l and width be w.
⇒l=2w+2
⇒P=2(2w+2w)
=3(3w+2)
=6w+4
Equating perimeters given.
6w+46
Subtract 4 from both sides and divide by 6
⇒6w=46−4
=42
⇒w=42/6
=7
Width=7
⇒l=(2×7)+2
=16
Length=16
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