Question

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Questions: -A Rhombus shaped field has green grass for 18 cows to graze. If each side of rhombus is 30 m and its longer diagonal is 48 m,how much area of grass field will each cow be getting?

Answer 1

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Answer 2

Answer:

48 m²

Step-by-step explanation:

From figure:

Area of ΔABD = area of ΔBCD.

⇒ Area of rhombus ABCD = 2 * area(ΔABD)

Semi-perimeter of ΔABD(s) = (30 + 30 + 48)/2

                                             = 108/2

                                             = 54 m.

∴ Area of ΔABD = √s(s-a)(s-b)(s-c)

⇒ √54(54 - 30)(54 - 30)(54 - 48)

⇒ √54 * 24 * 24 * 6

⇒ √186624

⇒ 432 m².

Now,

Area of rhombus ABCD = 2 * area(ΔABD)

                                        = 2 * 432

                                        = 864 m²

Hence, 18 cows can graze 864 m² of green grass field.

The required area = 864/18

                              = 48 m².

Therefore, required area of grass field will each cow be getting = 48 m².

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