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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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
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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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