Question

find the area of Pentagon is shown in figure if AD equal to 15 cm AH equal to 1O cmAG EQUAL TO 8cm andAD = 5 cm BF 6 m GE 3 cm and Ch equal to 9 CM

Answer 1

Here are the dimensions in photo

Area of pentagon=

{area ofABF + area ofAGE + area ofDGE + area ofCHD + area of trapezium FBCH}

So, Area of ABF= 1 × BF × AF

2

= 1 × 6 × 5

2

= 3×5

=15cm²

Area of AGE= 1 × AG × GE

2

= 1 × 8 × 3

2

= 4×3

= 12cm²

Area of DGE= 1 × DG × GE

2

= 1 × 7 × 3

2

= 21 cm²

2

Area of CHD= 1 × CH × HD

2

= 1 × 9 × 5

2

= 45 cm²

2

Area of trapezium=

= 1 ×(BF+CH)×FH

2

= 1 ×(6+9)×5

2

= 1 × 15 × 5

2

= 75 cm²

2

So,Area of pentagon=

=(15+12+ 21+ 45+ 75)

2 2 2

=( 30+24+21+45+75 )

2

=( 195 )

2

= 97.5cm²

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