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EXAMPLE 1

EXAMPLE 1. Finding the Area of a Parallelogram. Find the area of the parallelogram shown. SOLUTION. A. b h. Write the formula for the area of a parallelogram. =. 5 2. Substitute 5 for b and 2 for h. =. . 10. Simplify. =. ANSWER.

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EXAMPLE 1

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  1. EXAMPLE 1 Finding the Area of a Parallelogram Find the area of the parallelogram shown. SOLUTION A bh Write the formula for the area of a parallelogram. = 5 2 Substitute 5 for b and2 for h. =  10 Simplify. = ANSWER The area of the parallelogram is 10 square meters.

  2. ANSWER ANSWER 60in.2 28 cm2 EXAMPLE 3 for Examples 2 and 3 GUIDED PRACTICE for Example 1 Find the area of the described parallelogram. 1.base= 6 in.,height=10in. 2.base= 7 cm,height = 4 cm

  3. EXAMPLE 2 Finding an Unknown Dimension The area of a parallelogram is 45 square centimeters and the height is 9centimeters. What is the base? SOLUTION A bh = Write the formula for the area of a parallelogram. 45 b 9 Substitute 45 for Aand 9 for h. =  = b 45 ÷ 9 Write a related division equation. = b 5 Simplify. ANSWER The base is 5 centimeters.

  4. EXAMPLE 3 EstimatingArea Geography A parallelogram can be used to approximate the shape of Lake Erie. Use the map and scale to estimate the area of Lake Erie. SOLUTION STEP 1 Use the scale to find the base band the height h in kilometers. Height Base 3.6 cm 1 cm 1 cm 0.9 cm = = b km 92 km 92 km h km 92(0.9) 1• h 92(3.6) 1• b = = = = 331.2 h 82.8 b

  5. EXAMPLE 3 EstimatingArea STEP 2 Estimate the area of Lake Erie. = bh A Write the formula for the area of a parallelogram. 330(80) = Round the base and the height to the nearest tens. 26,400 Simplify. = ANSWER The area of Lake Erie is about 26,400 square kilometers.

  6. EXAMPLE 3 for Examples 2 and 3 GUIDED PRACTICE for Examples 2 and 3 In Exercises 3 and 4, find the unknown dimension. 3.Area of parallelogram=72 in.2, base= 12 in., height=? ANSWER 6 in. 4.Area of parallelogram=125 mm2,height=5 mm, base=? ANSWER 25 mm

  7. EXAMPLE 3 for Examples 2 and 3 GUIDED PRACTICE for Examples 2 and 3 What If? 5. In Example3, suppose the area isapproximated using a different parallelogramwith abase of3.3centimeters and a heightof0.9 centimeter. Estimate the area of Lake Erie using this parallelogram. ANSWER . . 300 km 80 km or 24,000 km2

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