Question

what is the area of the parallelogram shown? square in²
(diagram: parallelogram with base 4 in, side 1 in, height \frac{3}{4} in; calculator image below)

Explanation:

Step1: Recall the formula for the area of a parallelogram.

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

Step2: Identify the base and the height from the diagram.

From the diagram, the base of the parallelogram is \( 4 \) inches and the height is \( \frac{3}{4} \) inches.

Step3: Calculate the area.

Substitute the values of the base and the height into the formula: \( A = 4\times\frac{3}{4} \).
Simplifying the expression, \( 4\times\frac{3}{4}=3 \).

Answer:

\( 3 \)