The length of a rectangular field is three times its breadth. If the area of the field be 147 sq metres, find the length of the field.

Let the length and breadth of a rectangle be 3x and x respectively

According to the question;


Area = 147cm2


Area = length.breadth


x (3x) = 147cm2


3x2 = 147


x2 = 49


x = 7 or x = – 7 taking square root both sides


x = 7 (x cannot be negative)


length = 3.7 = 21cm, breadth = 7cm


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