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Areas of Parallelograms and Triangles LESSON 8-1 Find the area of the figure. Area of the larger rectangle: 3 12 = 36, or 36 m 2 The total area is , or 56 square meters. Area of the smaller rectangle: 2 5 = 10, or 10 m 2 Find the area of each polygon. Split the polygon into two rectangles and a triangle, as shown by the dashed lines. Area of the triangle: (5 4) = (20), or 10 m Additional Examples
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Find the area of the parallelogram.
Areas of Parallelograms and Triangles LESSON 8-1
The area of the parallelogram is 26.4 square inches.
= 26.4 Simplify.
= 8 3.3 Substitute 8 for b and 3.3 for h.
A = b h Use the formula for the area of a parallelogram.
Additional Examples
A park is a triangular plot of land. The plot has a base of 214 m and a height of 70 m. What is the area of the plot?
Areas of Parallelograms and Triangles LESSON 8-1
The area of the triangle is 7,490 square meters.
A = b h Use the formula for the area of a triangle.12
= 214 70 Substitute 214 for b and 70 for h.12
= 7,490 Simplify.
Additional Examples
Areas of Parallelograms and Triangles LESSON 8-1
Find the area of the figure.
Area of the larger rectangle: 3 12 = 36, or 36 m2
The total area is 10 + 36 + 10, or 56 square meters.
Area of the smaller rectangle: 2 5 = 10, or 10 m2
Find the area of each polygon.
Split the polygon into two rectangles and a triangle, as shown by the dashed lines.
Area of the triangle: (5 4) = (20), or 10 m212
12
Additional Examples