Question

what is the area of the shaded region? 24 mi 12 mi 19 mi 37 mi 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 = 24 mi, height = 37 mi.
$A_{large} = \frac{1}{2} \times 24 \times 37$
$= 12 \times 37$
$= 444$ square miles.

Step2: Calculate area of small triangle

For the small triangle, base = 12 mi, height = 19 mi.
$A_{small} = \frac{1}{2} \times 12 \times 19$
$= 6 \times 19$
$= 114$ square miles.

Step3: Subtract to find shaded area

Shaded area = $A_{large} - A_{small}$
$= 444 - 114$
$= 330$

Answer:

330