Question

what is the area of the shaded region? 30 cm 17 cm 22 cm 38 cm write your answer as a whole number or a decimal rounded to the nearest hundredth.

Explanation:

Step1: Calculate area of large triangle

The formula for the area of a triangle is \( A = \frac{1}{2} \times base \times height \). For the large triangle, base = 30 cm and height = 38 cm.
\( A_{large} = \frac{1}{2} \times 30 \times 38 = 15 \times 38 = 570 \, cm^2 \)

Step2: Calculate area of small triangle

For the small triangle, base = 17 cm and height = 22 cm.
\( A_{small} = \frac{1}{2} \times 17 \times 22 = \frac{1}{2} \times 374 = 187 \, cm^2 \)

Step3: Subtract small area from large area

The area of the shaded region is \( A_{shaded} = A_{large} - A_{small} \)
\( A_{shaded} = 570 - 187 = 383 \, cm^2 \)

Answer:

383