the lenght of a rectangular plot is 2m more than thrice its breadth if the area of the plot is 120 m^2. find the lenght and breadth of the plot
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Step-by-step explanation:
★ 'More than' means addition
Length = l
Breadth = b
According to the given condition
l = 2 + 3b --- (i)
Area of Rectangle = 120
By applying formula of!
Area of Rectangle = l × b
120 = (2 + 3b)b
120 = 2b + 3b²
3b² + 2b - 120 = 0
3b² + 20b - 18b - 120 = 0
b (3b + 20) - 6 (3b + 20) = 0
(b - 6) (3b + 20) = 0
b - 6 = 0
b = 6 (we accept this value)
3b + 20 = 0
b = - 20/3 (we neglect this value)
Putting b = 6 value in eq (i)
l = 2 + 3(6)
l = 2 + 18
Length = 20m
Breadth = 6m
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