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 1st condition, its length is twice its breadth…
∴ X = 2Y ….. (i)
By given 2nd condition, its area is 800 m2
∴ X Y = 800 …. (ii)
By substituting value of X from equation (i) into equation (ii), we get:
X Y = 800
∴ (2 Y) (Y) = 800
∴ (2 Y ^2) = 800
∴ (Y ^2) = 400
∴ Y = 20 and Y = – 20
Here, we accept Y = 20 only, because dimension of any field can never be negative value.
∴ Y = 20m
By substituting value of X in equation (i), we get:
X = 2 Y
∴ X = 2 (20) = 40
Therefore, the length of the rectangular mango grove is 40 m and breadth is 20 m.
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