Mrs. Boggs writes the equation on the board.
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The perimeter of the figure is 58 units
The area of the figure is 130 unit square
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To calculate the perimeter of the shape, we simply add up the side lengths of the visible parts of the figure.
Having said that, the perimeter is:
To calculate the area, we use a different approach.
First, we split the figure into 3, we then calculate the area of each sub-figure, and then we add up the calculated areas.
From left to right, we have:
Rectangle 1
Rectangle 2
Rectangle 3
The area of a rectangle is:
So, the area of the figure is:
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Look at the attached graphic.
40° = ½ (ADC -140°)
40° = ½ ADC -70°
110° = ½ ADC
ADC = 220°
40° = ½ (ADC -140°)
40° = ½ ADC -70°
110° = ½ ADC
ADC = 220°