10-1: Area of Parallelograms and Triangles Objectives: To find the area of parallelograms and triangles To find the area of parallelograms and triangles.

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10-1: Area of Parallelograms and Triangles Objectives: To find the area of parallelograms and triangles To find the area of parallelograms and triangles

Area Terms Area –Measure of the region enclosed by a figure Base –Any side of the figure Height –Length of perpendicular segment to the base Units –Square _______ –Example: 9 in 2 Read: 9 square inches OR 9 inches squared b b h h

Area of a Rectangle The area (A) of a rectangle is the product of its base (b) and height (h), ______. A=bh 4 cm 8 cm Find the area. A = 8(4) A = 32 cm 2 32 square cm 7 cm 56 cm 2 x cm Find the base. A = bh 56 = x(7) 8 cm = x Find the area A = 76 units 2

Altitude: Any segment from one side of a parallelogram perpendicular to the opposite side. Altitude = height Area of a Parallelogram The area of a parallelogram is the product of a base and the corresponding height. _______, where A is the area, b is the length of the base, and h is the height of the parallelogram A=bh 3 cm 9 cm A = bh A = 9(3) A = 27 cm 2 27 square cm h b Example h b Parallelograms

h b Area of a Triangle The area (A) of a triangle is half the product of a base (b) and the corresponding height (h),. 3” 8”8” p.619: 2-18 even (Include diagrams.)