Find the area of the figure below formed from a triangle and from a rectangle in square millimeters

Area of given figure is 216 mm².

Step-by-step explanation:

Area of the given figure = Area of triangle + Area of Rectangle

Area of triangle whose sides are known is determined by the formula:

where s is the semi-perimeter of the triangle. i.e.

s = (a + b + c) ÷ 2

⇒ s = ( 12 + 16 + 20) ÷ 2 = 24 mm

Then

⇒

⇒ Area = 96 mm²

Area of Rectangle = length × width

Area = 6 × 20 = 120 mm²

∴ Total Area = 96 mm + 120 mm = 216 mm²

Thus, Area of given figure is 216 mm².

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