Question

What is the area of the shaded region? 21 mm 24 mm 42 mm 48 mm

Answer 1

Answer:

24 mm

Step-by-step explanation:

full triangle= 1/2 (6+4+2) x 5 =30

unshaded = 1/2 x 4 x 3 = 6

shaded = 30 - 6 = 24

Answer 2

Answer : The area of the shaded region is, $24mm^2$

Step-by-step explanation :

First we have to calculate the area of ΔABC and ΔXYZ.

Area of ΔABC = $\frac{1}{2}\times Base\times Height$

Area of ΔABC = $\frac{1}{2}\times 5mm\times 12mm$

Area of ΔABC = $30mm^2$

and,

Area of ΔXYZ = $\frac{1}{2}\times Base\times Height$

Area of ΔXYZ = $\frac{1}{2}\times 3mm\times 4mm$

Area of ΔXYZ = $6mm^2$

Now we have to calculate the area of the shaded region.

Area of the shaded region = Area of ΔABC - Area of ΔXYZ

Area of the shaded region = $30mm^2-6mm^2$

Area of the shaded region = $24mm^2$

Therefore, the area of the shaded region is, $24mm^2$