Question

what is the area of the shaded region? 26 mi 13 mi 14 mi 28 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 = 26 mi, height = 28 mi.
$A_{large} = \frac{1}{2} \times 26 \times 28$
$A_{large} = 13 \times 28 = 364$ square miles.

Step2: Calculate area of small triangle

For the small triangle, base = 13 mi, height = 14 mi.
$A_{small} = \frac{1}{2} \times 13 \times 14$
$A_{small} = 13 \times 7 = 91$ square miles.

Step3: Subtract to find shaded area

Shaded area = $A_{large} - A_{small}$
Shaded area = $364 - 91 = 273$

Answer:

273