Q. Is it possible to design a rectangular mango grove whose length is twice its breadth, and the area is 800 m2? If so, find the length and breadth.

Ans: 

Let’s consider the length of rectangular as X m and width as Y m.

By given 1^st condition, its length is twice its breadth…

….. (i)

By given 2^nd condition, its area is 800 m²

…. (ii)

By substituting value of X from equation (i) into equation (ii), we get:

Here, we accept Y = 20 only, because dimension of any field can never be negative value.

m

By substituting value of X in equation (i), we get:

Therefore, the length of the rectangular mango grove is 40 m and breadth is 20 m.

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