To find the area of a parallelogram, you use the formula:
Area = base × height
It is important to use the base and the height that are perpendicular to each other (they form a right angle). Sometimes extra numbers are given to trick you, so make sure you pick the right pair!
Here is the step-by-step solution for each problem:
1. First Parallelogram
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Identify the base: The bottom side is labeled
20 ft.
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Identify the height: The dashed line showing the vertical height is
10 ft.
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Ignore extra info: The slanted side (12 ft) is not needed for the area.
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Calculate: $20 \times 10 = 200$
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Units: Square feet ($ft^2$)
2. Second Parallelogram
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Identify the base: Look at the bottom. There is a segment of 5 cm and a segment of 15 cm. The total base length is $5 + 15 =$
20 cm.
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Identify the height: The dashed vertical line is
35 cm.
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Ignore extra info: The slanted side (42 cm) is not needed.
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Calculate: $20 \times 35 = 700$
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Units: Square centimeters ($cm^2$)
3. Third Parallelogram
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Identify the base: The bottom side is labeled
7 m.
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Identify the height: The dashed vertical line is
2 m.
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Ignore extra info: The slanted side (3 m) is not needed.
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Calculate: $7 \times 2 = 14$
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Units: Square meters ($m^2$)
Final Answer:
1. 200 sq ft
2. 700 sq cm
3. 14 sq m
Parent Tip: Review the logic above to help your child master the concept of geometry parallelogram worksheet.
