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 Breadth of mango grove be ‘x’m. 

Breadth AD = BC = x m. 

Area = 800 sq. m. 

Length is twice its breadth. 

∵ Length = 2x m. 

length × breadth = Area of rectangle 

2x × x = 800 

2x² = 800 

x² = 400 

∴ x = ±20 m. 

∴ It is possible to design a rectangular mango grove. 

Breadth of mango grove, x = 20 m. 

Length of mango, 2x = 2 × 20 = 40m.