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A tabletop in the shape of a trapezoid has an area of 5,658 square centimeters. Its longer base measures 119 centimeters, and the shorter base is 65 centimeters. What is the height? The height of the tabletop
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Sep 24, 2019
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A tabletop in the shape of a trapezoid has an area of 5,658 square centimeters. Its longer base measures 119 centimeters, and the shorter base is 65 centimeters. What is the height?
The height of the tabletop is
centimeters.
Mathematics
middle-school
Arlen Beiler
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Arlen Beiler
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The formula for finding the area of a trapezoid is: sum of bases*height*1/2
By plugging in the information that we already have, we know: (119+65)*height*1/2=5658
184*1/2*height=5658
92*height=5658
height=61.5cm.
Check:
119+65=184
184*61.5=11316
11316*1/2=5658
Saturnix
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Sep 28, 2019
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