Question

question 2 (multiple choice worth 2 points) (area of polygons and composite figures mc) an image of a parallelogram is shown. what is the area of the parallelogram? 22\frac{1}{2} ft 4\frac{3}{8} ft

Explanation:

Step1: Convert mixed - numbers to improper fractions

$22\frac{1}{2}=\frac{22\times2 + 1}{2}=\frac{45}{2}$ and $18\frac{3}{4}=\frac{18\times4+3}{4}=\frac{75}{4}$

Step2: Use the area formula for a parallelogram

The area formula of a parallelogram is $A = b\times h$. Here, the base $b=\frac{45}{2}$ ft and the height $h=\frac{75}{4}$ ft.
$A=\frac{45}{2}\times\frac{75}{4}=\frac{45\times75}{2\times4}=\frac{3375}{8}=418\frac{1}{2}$ square - feet.

Answer:

$418\frac{1}{2}$ square - feet