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.

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

$b=\sqrt{H^2-h^2} =\sqrt{5^2-4^2} =\sqrt{25-16} =\sqrt{9} =3 cm$

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