The length of a rectangular plot is 2 m more than thrice its breadth. The area of the plot is 1240 m2. Find its length and breadth (approximate the values).
62 m and 20 m
Let x and y be the length and breadth of the rectangle respectively.
Given, x = 2+3y
Area of the rectangle = length × breadth = xy
(2+3y)y=1240
2y+3y2=1240
3y2+2y−1240=0
⇒ a=3,b=2,c=−1240
⇒ b2−4ac=4−4(3)(−1240)
⇒ b2−4ac=14884
⇒ √b2−4ac=122
⇒ x=−2−1226,−2+1226
we get, x=−20.67,20.
Since breadth cannot be negative, breadth = 20 m and length = 62 m.