I need help on this question?
Can you please show the working out

You need to use pythagorean theorem to figure out BD as you need the height of the triangles to figure out the area. to figure out the area of a triangle the formula is: area of triangle = 1/2 x base x height
i don’t know if you’re supposed to change the values they give you into numbers but i’m changing them
2 √ 5 = 4.47 cm
3 √ 2 = 4.24 cm
√ 2 = 1.41 cm

using pythagorus to work out BD
BD² = 4.47 ² - 4.24 ²
BD² = 2.0033
BD = √2.0033
BD = 1.42 cm

to figure out area of triangle ABD
1/2 x 4.24 x 1.42 = 3.0104 cm ²

area of BDC
1/2 x 1.41 x 1.42 = 1.0011 cm ²

total area of triangle
3.0104 + 1.0011 = 4.0115 cm ²

my answer may differ from the actual answer as the rounding will be different. i recommend you just follow my working out and but not round your numbers at the end of each step to get a more accurate answer