Question

What is the area of the shaded region?

6 mm

21 mm2

24 mm

42 mm

48 mm2

4 mm

3 mm

2 mm

5 mm

Answer 1

The area of the shaded region is,
`24mm^(2)`

Explanation:

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

Area of ΔABC =
`\frac{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) X3mmX4mm`

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)`