The perimeter of a rectangle swimming pool is 154m.its length is 2m more than twice its breath . what are the length and the breath of the pool
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Step-by-step explanation:
The perimeter of a rectangular swimming pool is 154 m. Its length is 2 m more than twice its breadth. What is the length and breadth of the pool
Then, the statement, “Its length is 2 m more than twice its breadth” is equivalent to writing:
l=2b+2
Now, for a rectangle, the perimeter, P, is given by:
P=2l+2b
Substituting our expression for l gives:
P=2(2b+2)+2b=6b+4=154
which we can re-arrange to find:
6b=150⟹b=25
And plugging this into our expression for l yields:
l=2b+2=2×25+2=52
Thus its length is 52m and its breadth is 25m
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