I will solve each of the 10 problems to find the area of the parallelograms shown in the image. The area of a parallelogram is calculated using the formula:
Area = Base × Height
I will go through each problem one by one, identify the base and the corresponding perpendicular height, and then calculate the area.
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Problem 1
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Given: RS = 30 cm (base), TS = 16 cm (height, since it's perpendicular to RS)
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Calculation: Area = 30 cm × 16 cm =
480 cm²
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Problem 2
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Given: AB = 16 cm (base), DL = 7 cm (height, perpendicular from D to AB)
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Calculation: Area = 16 cm × 7 cm =
112 cm²
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Problem 3
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Given: PQ = 19 cm (base), MR = 4 cm (height, perpendicular from M to PQ)
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Calculation: Area = 19 cm × 4 cm =
76 cm²
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Problem 4
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Given: AB = 8 cm (base), DZ = 8 cm (height, perpendicular from D to AB)
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Calculation: Area = 8 cm × 8 cm =
64 cm²
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Problem 5
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Given: PQ = 22 cm (base), AS = 11 cm (height, perpendicular from A to PQ)
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Calculation: Area = 22 cm × 11 cm =
242 cm²
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Problem 6
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Given: LM = 24 cm (base), PO = 6 cm (height, perpendicular from P to LM)
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Calculation: Area = 24 cm × 6 cm =
144 cm²
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Problem 7
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Given: RS = 11 cm (base), SX = 11 cm (height, perpendicular from X to RS)
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Calculation: Area = 11 cm × 11 cm =
121 cm²
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Problem 8
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Given: CD = 6 cm (base), CQ = 8 cm (height, perpendicular from C to the extension of AB)
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Calculation: Area = 6 cm × 8 cm =
48 cm²
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Problem 9
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Given: AB = 10 cm (base), PB = 4 cm (height, perpendicular from P to AB)
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Calculation: Area = 10 cm × 4 cm =
40 cm²
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Problem 10
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Given: AB = 22 cm (base), CE = 10 cm (height, perpendicular from C to AB)
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Calculation: Area = 22 cm × 10 cm =
220 cm²
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Final Answers:
1.
480 cm²
2.
112 cm²
3.
76 cm²
4.
64 cm²
5.
242 cm²
6.
144 cm²
7.
121 cm²
8.
48 cm²
9.
40 cm²
10.
220 cm²
This completes the solution for all 10 problems. Each answer is derived using the standard formula for the area of a parallelogram:
Base × Height.
Parent Tip: Review the logic above to help your child master the concept of area of triangle and parallelogram worksheet.
