Question

what is the area of the shaded region? 84.5 mm 46.4 mm 52.5 mm 95.7 mm write your answer as a whole number or a decimal rounded to the nearest hundredth. square millimeters submit

Explanation:

Step1: Área del triángulo mayor

$\text{Área}_{\text{mayor}} = \frac{84.5 \times 95.7}{2} = 4043.325 \, \text{mm}^2$

Step2: Área del triángulo menor

$\text{Área}_{\text{menor}} = \frac{46.4 \times 52.5}{2} = 1218 \, \text{mm}^2$

Step3: Área sombreada

$\text{Área}_{\text{sombreada}} = 4043.325 - 1218 = 2825.325 \, \text{mm}^2$

Step4: Redondear a centésimas

$2825.325 \approx 2825.33$

Answer:

2825.33