Question

3. Find the area of the pentagonal field ABCDE as shown in Fig. 15.29, given that BR = 20 m, BQ = 50 m, BP = 80 m, BE = 120 m, CR = 30 m, DP = 25 m and AQ = 70 m. = E PAD А -dQ R С B. Fig. 15.29 1​

Answer 1

Answer:

In the figure Area of ΔAFB=

2

1

×50×50=1250m

2

Area of ΔAGE=

2

1

×60×(50+40)=2700m

2

Area of ΔEGD=

2

1

×25×(25+25)=1200m

2

Area of ΔAFB=

2

1

×25×25=312.5m

2

Area of quderetrel BFHC=(25+15)(

2

50+25

)=2062.50m

2

Then total area of field =1250+2700+1200+312.50+2062.50=7525 sq m