A farmer wishes o start a 100 sq.m. rectangular vegetable garden . Since he has only 30 m barbed wire . he fence three sides of the garden letting his house compound wall ac as the fourth side fencing . The dimension of the garden is :
We have : 2b + l = 30
`rArr l = 30 - 2b`.
Area = 100`m^2`
`rArr l x b = 100 rArr b(20 - 2b) = 100 rArr b^2 - 15b + 50 = 0`
`rArr (b - 10) (b - 5) = 0`
`rArr b = 10 or b = 5`
when b = 10, l = 10 and b = 5, l = 20.
Since the garden is rectangular so its dimension is 20 m x 5 m
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