Question

what is the area of the shaded region? 37 m 21 m 17 m 30 m write your answer as a whole number or a decimal rounded to the nearest hundredth. square meters

Explanation:

Step1: Find area of large triangle

The formula for the area of a triangle is $A=\frac{1}{2}bh$. For the large triangle, $b = 30$ m and $h=37$ m. So $A_{1}=\frac{1}{2}\times30\times37 = 555$ m².

Step2: Find area of small triangle

For the small triangle, $b = 17$ m and $h = 21$ m. Using the area - of - a - triangle formula $A=\frac{1}{2}bh$, we get $A_{2}=\frac{1}{2}\times17\times21=\frac{357}{2}=178.5$ m².

Step3: Find area of shaded region

Subtract the area of the small triangle from the area of the large triangle. $A = A_{1}-A_{2}=555 - 178.5=376.5$ m².

Answer:

376.5