Question

what is the area?
8 cm
17.5 cm
16.5 cm
square centimeters

Explanation:

Step1: Recall the trapezoid area formula

The area \( A \) of a trapezoid is given by \( A=\frac{(a + b)h}{2} \), where \( a \) and \( b \) are the lengths of the two parallel sides (bases), and \( h \) is the height (the perpendicular distance between the bases). Here, \( a = 8\space\text{cm} \), \( b = 16.5\space\text{cm} \), and \( h = 17.5\space\text{cm} \).

Step2: Substitute the values into the formula

First, add the lengths of the two bases: \( 8 + 16.5=24.5\space\text{cm} \).

Then, multiply this sum by the height: \( 24.5\times17.5 = 428.75 \).

Finally, divide the result by 2: \( \frac{428.75}{2}=214.375 \).

Answer:

\( 214.375 \)