Q5 of 242 Page 9

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.

Let the breadth be ‘a’ m

Given, rectangular mango grove whose length is twice its breadth.

Length = 2a

Area = 800 m²

⇒ 2a × a = 800

⇒ a² = 400

⇒ a = 20 m

Thus, length = 40m

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Sum of the areas of two squares is 640 m². If the difference of their perimeters is 64 m, find the sides of the two squares.

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.