Question

find the area of this trapezoid. be sure to include the correct unit in your answer.

Explanation:

Step1: Recall trapezoid area formula

The formula for the area of a trapezoid is \( A=\frac{(a + b)}{2}\times h \), where \( a \) and \( b \) are the lengths of the two parallel sides (bases), and \( h \) is the height (the perpendicular distance between the bases).

Step2: Identify values of \( a \), \( b \), and \( h \)

From the diagram, the two parallel sides (bases) are \( a = 8\space m \) and \( b = 19\space m \), and the height \( h = 6\space m \).

Step3: Substitute values into the formula

Substitute \( a = 8 \), \( b = 19 \), and \( h = 6 \) into the formula:

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Answer:

The area of the trapezoid is \( 81 \) square meters (or \( 81\space m^2 \)).