Chapter 4: Quadratic Equations

Example 11. 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.

Solution:- Let breadth = x, then length = 2x

According to question, l × b = 2x × x = 800

Or, 2x² = 800

Or, x² = 400

Or, x = 20s

Hence, it is possible to design of length  = 2×20 = 40 m and breadth = 20 m.