Question: Is it possible to design a rectangular mango grove whose length is twice its breadth, and the area is 800 m2? If so, find its length and breadth.
Explanatory Answer
Let the breadth of the mango grove be x metres.
Length = 2 × breadth = 2x metres
Area = length × breadth = 2x × x = 2x2
Area = 800 sq m
2x2 = 800
Or x2 = 400
∴ x = ±20
Breadth cannot be negative.
∴Breadth = 20 m and Length = 40 m.
YES. It is possible to have a mango grove whose length is twice the breadth and whose area is 800 m2.