Question

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what is the area of the shaded region? write your answer as a whole number or a decimal rounded to the nearest hundredth. square miles

Explanation:

Step1: Find area of large triangle

Use formula $A = \frac{1}{2}bh$, where $b = 33$ mi and $h=29$ mi. So $A_{1}=\frac{1}{2}\times33\times29=\frac{957}{2}=478.5$ square - miles.

Step2: Find area of small triangle

Use formula $A=\frac{1}{2}bh$, where $b = 21$ mi and $h = 18$ mi. So $A_{2}=\frac{1}{2}\times21\times18=189$ square - miles.

Step3: Find area of shaded region

Subtract area of small triangle from area of large triangle. $A = A_{1}-A_{2}=478.5 - 189=289.5$ square - miles.

Answer:

289.50 square miles