Areas of Parallelograms. Parallelogram A parallelogram is a quadrilateral where the opposite sides are congruent and parallel. A rectangle is a type of.

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Presentation transcript:

Areas of Parallelograms

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

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 = = 255 cm 2