Question

Find tge area of the polygon. AL=3CM , ME=4.5CM, ND=6cm, FL=3CM, FM=5CM, MN=5.5 CM , NC= 8.5CM, AB=10CM

Answer 1

Area of the polygon = 109.125  cm²

Step-by-step explanation:

Area of Trapezium ABCF  = (1/2)(AB  + CF) * AL

AB = 10 cm

CF = FM + MN + NC = 5 + 5.5 + 8.5  = 19 cm

AL = 3 cm

= (1/2)( 10 + 19) * 3

= 43.5 cm²

Area of Δ FME  = (1/2) FM * ME

= (1/2) * 5 * 4.5

= 11.25 cm²

Area of Δ DNC  = (1/2) NC * DN

= (1/2) * 8.5 * 6

= 25.5 cm²

Area of Trapezium EMND = (1/2) (EM + ND) * MN

= (1/2) (4.5 + 6) * 5.5

= 28.875 cm²

Area of the polygon =  43.5 cm² + 11.25 cm² + 25.5 cm² + 28.875

= 109.125  cm²

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Answer 2

Answer:

The Answer Is attached Below