Question

Find the area of the following polygon, if AL = 10 cm, AM = 20 cm, AN = 50 cm. AO = 60 cm and AD = 90 cm.​

Answer 1

Step-by-step explanation:

Area of all triangles = Area of triangle AFM + Area of triangle EOD + Area of triangle ALB + Area of triangle NCD =

2

1

×AM×FM+

2

1

×EO×OD+

2

1

×AL×LB+

2

1

×ND×NC

2

1

×20×20+

2

1

×60×30+

2

1

×10×30+

2

1

×40×40

200+900+150+800=2050

Area of all trapezium = Area of FMOE+ Area of LNCB

2

1

(FM+EO)×MO+1/2×(LB+NC)×LN

2

1

×(20+60)×40+1/2×(30+40)×40

=3000

area of the polygon =Area of all triangles + Area of all trapezium

A=2050+3000=5050cm

2

Answer (D) 5050cm