Question

what is the missing length?
16 cm
area = 144 cm²
w = centimeters

Explanation:

Step1: Recall area formula for parallelogram

The area \( A \) of a parallelogram is given by \( A = \text{base} \times \text{height} \). Here, the height is \( 16 \, \text{cm} \), the area \( A = 144 \, \text{cm}^2 \), and the base is \( w \). So the formula becomes \( 144 = w \times 16 \).

Step2: Solve for \( w \)

To find \( w \), we divide both sides of the equation by \( 16 \). So \( w = \frac{144}{16} \). Calculating this, \( 144 \div 16 = 9 \).

Answer:

\( 9 \)