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solong [7]
3 years ago
14

Q2. Calculate the area of the shaded region in the figure shown.40°12m10m​

Mathematics
1 answer:
Anvisha [2.4K]3 years ago
3 0

Answer:

Area of the shaded area = 60 m^2

Step-by-step explanation:

Remark

I don't think you need the 40 degrees for anything.

Formula

Area of Shaded part = area of the rectangle - area of the triangle

Solution

<u>Area of the Rectangle</u>

L = 12 meters

W = 10 meters

Area = 12 * 10

Area = 120 m^2

<u>Area of the triangle</u>

Area = 1/2 b * h

b = 12

h = 10

Area = 1/2 * 12 * 10

Area = 120/2 = 60

Area of the shaded area

120 - 60 = 60

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‎ㅤ‎ㅤ‎ㅤ‎ㅤ‎ㅤ\bigstar\boxed{\large\bf{\leadsto -\dfrac{28}{9}}}

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‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎\bf{⟼ \dfrac{\dfrac{14}{9}}{\dfrac{-1}{3}-\dfrac{1}{6}}}

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‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎\bf{⟼ \dfrac{\dfrac{14}{9}}{\dfrac{-2-1}{6}}}

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‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎\bf{⟼ \dfrac{\dfrac{14}{9}}{\dfrac{-3}{6}}}

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‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎\bf{⟼\dfrac{14}{9}\times -2}

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎

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