Around a square shaped swimming pool there is footpath of 2m. If the area of footpath is 5/3 times that of the pool,find area of pool.
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Let the side of the square be x
Area of square = x2
Area of footpath = (x+4)2
now,
(x+4)2 -x2 = 5/4x2
solving it we get the equation....
5x2 - 32x - 64 = 0
solving this equation....
x = 8
therefore
Area of pool = (8+4)the whole square
= (12)the whole square
= 144m2
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abhijeetkhot0612:
from where does the 4 comes from (x+4) comes from
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