Question

find the area of parallelogram lmno. round your answer to the nearest tenth if necessary.

diagram of parallelogram lmno with base 16 in, height 13.2 in, and side length 15.2 in

Explanation:

Step1: Recall the formula for the area of a parallelogram

The area \( A \) of a parallelogram is given by the formula \( A = base \times height \), where the base is the length of one of the parallel sides and the height is the perpendicular distance between the two parallel sides.

Step2: Identify the base and the height from the diagram

From the diagram, the base \( b \) of the parallelogram \( LMNO \) is \( 16 \) inches, and the height \( h \) (the perpendicular distance between the bases \( LM \) and \( NO \)) is \( 13.2 \) inches.

Step3: Calculate the area

Substitute the values of the base and the height into the formula:
\[
A = b \times h = 16 \times 13.2
\]
\[
16\times13.2 = 211.2
\]

Answer:

The area of parallelogram \( LMNO \) is \( 211.2 \) square inches.