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# 9-4 - A triangle(which can be formed by splitting a...

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Areas of Parallelograms and Triangles Lesson 9-4

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Parallelogram A parallelogram is a quadrilateral where the opposite sides are congruent and parallel. A rectangle is a type of parallelogram, but we often see parallelograms that are not rectangles (parallelograms without right angles).
Area of a Parallelogram Any side of a parallelogram can be considered a base . The height of a parallelogram is the perpendicular distance between opposite bases. The area formula is A=bh A=bh A=5(3) A=15m 2

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Area of a Triangle A triangle is a three sided polygon. Any side can be the base of the triangle. The height of the triangle is the perpendicular length from a vertex to the opposite base.

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Unformatted text preview: A triangle (which can be formed by splitting a parallelogram in half) has a similar area formula: A = ½ bh. Example A= ½ bh A= ½ (30)(10) A= ½ (300) A= 150 km 2 Complex Figures Use the appropriate formula to find the area of each piece. Add the areas together for the total area. Example | 27 cm | 10 cm 24 cm Split the shape into a rectangle and triangle. The rectangle is 24cm long and 10 cm wide. The triangle has a base of 3 cm and a height of 10 cm. Solution Rectangle A = lw A = 24(10) A = 240 cm 2 Triangle A = ½ bh A = ½ (3)(10) A = ½ (30) A = 15 cm 2 Total Figure A = A 1 + A 2 A = 240 + 15 = 255 cm 2 Homework Time...
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