In each of the figures below, find the area of the coloured portion.

(1)

(2)

(3)

(4)

(1) Δ PQR is an equilateral triangle

Side of triangle (a) = 8 cm

Area of an equilateral triangle =

Area =

⇒ Area = 16√3 sq cm

(2) Given:

AC = 20 cm

BD = 8 cm

Area of ΔABC =

⇒ Area of ΔABC = 80 sq cm

Length of the rectangle or non shaded region = 5 cm

Breadth of the rectangle or non shaded region = 4 cm

Area of the non shaded region = (Length × Breadth) = 20 sq cm

Area of the shaded region = Area of ΔABC- Area of non shaded region or rectangle

⇒ Area of the shaded region = (80-20) = 60 sq cm

(3) Given:

EF = 15 cm

AB = 20 cm

Area of the parallelogram ABCD = (AB × EF) = 300 sq cm

Area of the Δ AEB =

⇒ Area of the Δ AEB = 150 sq cm

Area of the shaded region = Area of the parallelogram ABCD- Area of the Δ AEB

⇒ Area of the shaded region = 150 sq cm

(4) Given:

NE = 18 cm

SE = 12 cm

Area of Δ QNE =

⇒ Area of Δ QNE or the area of shaded region = 108 sq cm