Question

find the area of parallelogram defg. round your answer to the nearest tenth if necessary. answer attempt 1 out of 2 inches² submit answer

Explanation:

Step1: Recall the formula for the area of a parallelogram

The area of a parallelogram is given by the formula \( A = base \times height \).

Step2: Identify the base and the corresponding height

From the diagram, the base \( b \) of the parallelogram \( DEFG \) can be taken as \( 12.4 \) inches, and the corresponding height \( h \) (the perpendicular distance between the base and the opposite side) is \( 9.9 \) inches.

Step3: Calculate the area

Using the formula \( A = base \times height \), we substitute the values of base and height:
\( A = 12.4 \times 9.9 \)
First, calculate \( 12.4\times9.9 \):
\( 12.4\times9.9 = 12.4\times(10 - 0.1)=12.4\times10 - 12.4\times0.1 = 124 - 1.24 = 122.76 \)

Answer:

\( 122.8 \) (rounded to the nearest tenth) or \( 122.76 \) (exact value). Since the problem asks to round to the nearest tenth, the answer is \( 122.8 \) square inches.