11. Find the area of the shaded region of each of the given figures:
Answers
Answer:
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Step-by-step explanation:
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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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