Math, asked by 0x0, 2 months ago

PLS HELP ( CORRECT GETS BRAILY )

The design of the home is shown below. If all measurements are in millimeters, find the area of the diagram.

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Answered by OoINTROVERToO
1

In the above fig, Let the base of Traingle be x

cos 60° = Base/Hypotenuse = 1/2

x / 30 = 1/2

x = 15 mm

sin 60° = Perpendicular/Hypotenuse = √3/2

Perpendicular = 30√3/2 = 15√3

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Now find the Length of other Parallel side. let say it y.

x + y = 51

15 + y = 51

y = 36 mm

Finding the side of Square in figure

Side of Square = 36/3 = 12 mm

____________________

Now lets Find the AREA of Individual figure

AREA of Trapezium

  • 1/2 × Sum of || side × Height
  • 1/2 × (36 + 51) × 15√3
  • 1128.825 mm²

AREA of Square

  • Side²
  • 12²
  • 144 mm²

AREA of House

  • 1128.825 - 144
  • 984.825 mm²

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Answered by KavyaSwastika
0

Answer:

answer is in attachment

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