the perimeter of a rectangle Is 154m.its length is 2m more than twice its breadth .what are the length and breadth of the rectangle
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don't know sorry..................
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Let the length of the pool be denoted by ll, and the breadth be denoted by bb
Then, the statement, “Its length is 2 m more than twice its breadth” is equivalent to writing:
l=2b+2l=2b+2
Now, for a rectangle, the perimeter, P,P, is given by:
P=2l+2bP=2l+2b
Substituting our expression for ll gives:
P=2(2b+2)+2b=6b+4=154P=2(2b+2)+2b=6b+4=154
which we can re-arrange to find:
6b=150⟹b=256b=150⟹b=25
And plugging this into our expression for ll yields:
l=2b+2=2×25+2=52l=2b+2=2×25+2=52
Thus its length is 52m and its breadth is 25m
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