10.3 Area of Parallelograms

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Presentation transcript:

10.3 Area of Parallelograms Geometry

Objectives: Find the areas of parallelograms. Find the areas of shaded region

Area of Parallelograms A = bh h b

Justification You can justify the area formulas for parallelograms as follows. The area of a parallelogram is the area of a rectangle with the same base and height.

Area=BH=12(9) = 108 square units. Using the Area Find the area of ABCD. Use AB as the base. So, b=12 and h=9 Area=BH=12(9) = 108 square units. 9

EXAMPLE 1 Use a formula to find area Find the area of PQRS. SOLUTION Method 1 The base is extended to measure the height RU. So, b = 6 and h = 8. Use PS as the base. Method 2 Use PQ as the base. Then the height is QT. So, b =12 and h = 4. Area = bh =12(4) = 48 square units

GUIDED PRACTICE for Example 1 Find the perimeter and area of the polygon. 2. 100 units, 510 units2 ANSWER