Question

Polygon ABCDE is divided in different parts as shown in figure. If AD = 8 cm., AH = 6 cm., AG = 4 cm., AF = 3 cm. and BF = 2 cm., CH = 3 cm., EG = 2.5 cm. Then And the area of polygon.

Answer 1

Area of polygon ABCDE = Area of right ∆AFB + Area of trapezium BFHC + Area of right ∆CHD + Area of right ∆EGD + Area of right ∆AGE

FH = AH – AF = 6 – 3 = 3 cm.

HD = AD – AH = 8 – 6 = 2 cm.

GD = AD – AG = 8 – 4 = 4 cm.

= 3 + 7.5 + 3 + 5 + 5

= 23.5 cm²