Question

what is the area of the shaded region? 39 km 24 km 21 km 34 km write your answer as a whole number or a decimal rounded to the nearest hundredth. square kilometers

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 = 39 km and height = 34 km.
$A_{large} = \frac{1}{2} \times 39 \times 34$
$A_{large} = \frac{1}{2} \times 1326 = 663$ square kilometers.

Step2: Calculate area of small triangle

For the small triangle, base = 24 km and height = 21 km.
$A_{small} = \frac{1}{2} \times 24 \times 21$
$A_{small} = \frac{1}{2} \times 504 = 252$ square kilometers.

Step3: Subtract areas to find shaded region

The area of the shaded region is the area of the large triangle minus the area of the small triangle.
$A_{shaded} = A_{large} - A_{small}$
$A_{shaded} = 663 - 252 = 411$

Answer:

411