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Finding the Area of Special Quadrilaterals
TeacherTwins©2015
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Warm Up 1. Find the area of a rectangle with a width of 11.5in and a length of 15.4in. 2. Find the area of a parallelogram with a base of 12cm and a height of 18cm. 3. Find the area of a triangle that has a base of 22ft and a height of 18ft. 4. Find the area of a right triangle that has a base of 14ft and a height of 17ft. 177.1in2 216cm2 198ft2 119ft2
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Finding the Area of a Rhombus
A rhombus is a parallelogram so we can use the formula A = base x height.
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Ex. 1: Find the area of the rhombus.
A = (15cm)(10cm) A = 150cm2 Height - 10cm 15cm - base
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Finding the Area of Trapezoid
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Example 2: Find the area of the trapezoid.
To find the base of the triangle subtract the bases. 15cm – 7cm = 8cm. 7cm Divide the 8cm by 2 to find out the base of one of the triangles. 8/2 = 4cm 5cm 4cm 4cm 15cm Find the area of the rectangle. A = 7cm x 5cm = 35cm2 Find the area of the triangles. A = 4(5)÷ 2 = 10 cm2 Add the two triangles and the rectangles. 10cm2 + 10cm2 + 35cm2 = 55cm2
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Example 3: Find the area. A = 17.5in2 + 17.5in2 + 84in2 = 119in2
Base of triangles = 22in – 12in = 10in 10 ÷ 2 = 5in 12in Area of triangles A = 5in x 7in ÷ 2 = 17.5in2 7in 5in 5in Area of rectangle A = 12in x 7in = 84in2 22in Add the rectangle and two triangles. A = 17.5in in in2 = 119in2
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Practice Find the area. 1. 16cm 2. 12cm 12cm 20cm 14cm 216cm2 168cm2
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Closure Explain how to find the area of the trapezoid to a student who was not here. 7cm 5cm 10cm 42.5cm2
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