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 be ‘a’ m
Given, rectangular mango grove whose length is twice its breadth.
Length = 2 × Breadth = 2a

Area of rectangular mango = 800 m²

⇒ 2a × a = 800

⇒ a² = 400

⇒ a = 20 m

Thus, length = 40m , Breadth = 20m

therefore , it is clear that it is possible to design a rectangular mango grove whose length is twice its breadth, and the area is 800 m² and also length = 40m and Breadth = 20m

Answer 2

SOLUTION :

Given :  

Area of a rectangular mango grove = 800 m²

Let breadth of a rectangular Mangrove = x m

length of a rectangular Mangrove = 2x

[Given : length is twice its breadth]

A.T.Q,

Area of a rectangular mango grove = Length × breadth

800 m² = 2x × x

2x² = 800

x² = 800/2 = 400

x = √400

x = ±20

[Breadth can never be negative]

So, x = 20

Breadth of a rectangular Mangrove = x = 20 m

Breadth of a rectangular Mangrove = 20 m

Length of a rectangular Mangrove =2x = 2×20 = 40 m

Hence , the Length of a rectangular Mangrove= 40 m & Breadth of a rectangular Mangrove = 20 m.

∴ It is possible to design a rectangular mango grove having area 800 m² and length = 40 m & breadth = 20 m.

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