Respuesta :

Answer:

45 cm²

Step-by-step explanation:

The area of the shaded region is calculated as

area of outer triangle - area of inner triangle

area of outer = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the height ) , then

A = [tex]\frac{1}{2}[/tex] × 15 × 10 = 75 cm²

area of inner = [tex]\frac{1}{2}[/tex] × 12 × 5 = 30 cm²

Thus

area of shaded region = 75 - 30 = 45 cm²