Question

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

Answer 1

24 mm

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 =
`(1)/(2)* Base* Height`

Area of ΔABC =
`(1)/(2)* 5mm* 12mm`

Area of ΔABC =
`30mm^2`

and,

Area of ΔXYZ =
`(1)/(2)* Base* Height`

Area of ΔXYZ =
`(1)/(2)* 3mm* 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`