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Question
a trapezoid has 12 feet base and 7.8 feet base, as well as 15.5 feet height. what is the area?
square feet
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Step1: Recall trapezoid area formula
The formula for the area \( A \) of a trapezoid is \( A=\frac{(b_1 + b_2)}{2}\times h \), where \( b_1 \) and \( b_2 \) are the lengths of the two bases, and \( h \) is the height.
Step2: Identify values
Here, \( b_1 = 12 \) feet, \( b_2 = 7.8 \) feet, and \( h = 15.5 \) feet.
Step3: Substitute values into formula
First, calculate the sum of the bases: \( b_1 + b_2=12 + 7.8 = 19.8 \) feet.
Then, divide by 2: \( \frac{19.8}{2}=9.9 \) feet.
Finally, multiply by the height: \( 9.9\times15.5 = 153.45 \) square feet.
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153.45