Question

Find the area of parallelogram ABCD given m A = 30 and the following measures.

Answer 1

Answer: SECOND OPTION

Step-by-step explanation:

The area of a parallelogram can be calculated with this formula:

$A=bh$

Where "b" is the of one base and "h" is the height.

You can observe in the figure that "b" and "h" are:

$b=AB=4\sqrt{2}ft\\\\h=AX=3ft$

Then, substituting these values into the formula, you get that the area of the given parallelogram is:

$A=(4\sqrt{2}ft)(3ft)\\\\A=12\sqrt{2}ft^2$

This matches with the second option.