Question

12. What is the area of this figure?

6 cm
18
(57
4 cm
4 cm
15 cm
5 cm

Answer 1

The area of this figure is 30 square cm.

Step-by-step explanation

The figure consists of a rectangle and right angled triangle.

length of the rectangle l=6cm

breadth of the rectangle b=4 cm

area of the rectangle=lb=6*4 =
`24cm^2`

hypotenuse of the right angled triangle=5 cm

height h=4 cm

we have to calculate the base using pythagoras theorem

`b=√(H^2-h^2) =√(5^2-4^2) =√(25-16) =√(9) =3 cm`

area of the triangle=
`1/2 bh\\=1/2 *3*4=6 cm^2`

are of the figure=area of the rectangle+area of the triangle=24+6=30 sq cm