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.

Answer 1

Let the breadth = x m 

Then length = 2x m 

Area = length x breadth = x.(2x) 

= 2x²m² 

By problem 2x² = 800 ⇒ x² = 400 

and x = √400 = ± 20

∴ Breadth x = 20 m and

length 2x = 2 × 20 = 40 m.