The area of this figure is 30 square cm.
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 =[tex]24cm^2[/tex]
hypotenuse of the right angled triangle=5 cm
height h=4 cm
we have to calculate the base using pythagoras theorem
[tex]b=\sqrt{H^2-h^2} =\sqrt{5^2-4^2} =\sqrt{25-16} =\sqrt{9} =3 cm[/tex]
area of the triangle=[tex]1/2 bh\\=1/2 *3*4=6 cm^2[/tex]
are of the figure=area of the rectangle+area of the triangle=24+6=30 sq cm
