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Given that the area of the parallelogram ππππΏ is equal to 610.9 square centimeters, find the length of ππΏ.
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We need to calculate the length of the base of the parallelogram ππΏ.
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We are also told that the area of the parallelogram is 610.9 square centimeters.
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We recall that the area of any parallelogram can be calculated by multiplying its base by its perpendicular height.
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The perpendicular height πΏπ is equal to 20.5 centimeters.
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If we let the length ππΏ be π centimeters, then the area is equal to π multiplied by 20.5.
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As the area is 610.9, this is equal to 20.5π.
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We can calculate the value of π by dividing both sides of this equation by 20.5.
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This gives us π is equal to 29.8.
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The length of ππΏ is therefore equal to 29.8 centimeters.