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Parallelogram Area Problems
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Parallelogram Area Problems
Use area = base × perpendicular height. Include units in your answers.
Calculate Area
1.A parallelogram has a base of 11 inches and a perpendicular height of 4 inches. What is its area?
2.A banner is shaped like a parallelogram. Its base is 13 feet and its perpendicular height is 6 feet. Find the banner's area.
3.A parallelogram-shaped patio has a base of 17 yards and a perpendicular height of 8 yards. How many square yards does it cover?
4.Which measurement should be used as the height when finding a parallelogram's area?
- The length of a slanted side
- The perpendicular distance between the base and the opposite side
- The distance around the shape
- Half of the longest side
Find a Missing Measurement
5.A parallelogram has an area of 96 square centimeters and a base of 12 centimeters. What is its perpendicular height?
6.A parallelogram covers 105 square feet and has a perpendicular height of 7 feet. Find its base.
7.A parallelogram-shaped playground has an area of 288 square meters and a base of 24 meters. What is its perpendicular height?
8.Complete both rules for finding a missing measurement: height = area ÷ ; base = area ÷ .
Reason and Compare
9.A parallelogram has an area of 108 square inches and a base of 9 inches. Find its height, then write a short explanation of why the height—not the slanted side—is used in the area formula.
10.A designer compares two parallelogram-shaped floor panels. Panel A has a base of 18 feet and a perpendicular height of 9 feet. Panel B has a base of 21 feet and a perpendicular height of 8 feet. Find both areas and state which panel covers more floor.
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