Math, asked by getmaazshaikh, 1 month ago

11. Find the area of the shaded region of each of the given figures:​

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Answers

Answered by tanzilabhaisaheb
0

Answer:

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Step-by-step explanation:

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Answered by SHAKSHAMJAISWAL
3

Construction: Draw an imaginary line EI and mark ΔAJB

Given: A 10 sided polygon

To find: Area of the polygon
Procedure: First we need to find measure of BI
                 ∵ Measure of BI = BH-EF

                                                         =(26-8)cm

                                                          =18 cm

Area of the polygon = AreaΔACB + Area rect. ABID + Area rect. EFHI + Area ΔFGH

ΔAJB = ΔAJC

JC = BJ = 9/2 = 4.5

∴ Area of ΔABC = Area ΔAJB + Area ΔAJC

⇒ (2×1/2×6×4.5) cm = 27 cm

Area rect. ABID = BI×CB

Area rect. ABID = (18×9) cm

∴ Area rect. ABID = 162 cm

Area rect. EFHI = IE×EF

Area rect. EFHI = (8×5)cm

Area rect. EFHI = 40 cm

Area ΔFHG = ∛/4 × FG²

Area ΔFHG = (∛/4 × 5×5)cm

Area ΔFHG = (1.73 × 6.25) cm

Area ΔFHG = 10.8125 cm

∴ ( 162+40+27+10.8125) cm

⇒ 239.8125 cm

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