A park in the shape of a quadrilateral ABCD has C = 90°. AB = 18 m, BC = 24 m, CD = 10 m and AD = 16 m. How much area does it occupy?
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arpox area = 262
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Class 8>>Maths>>Mensuration>>Area of General Quadrilateral>>A park in the shape of a quadrilateral A
Question
Area of △BCD=21×24×10=120m2
Use pythagoras theorem in ΔCBD
CD²+BC²=DB²
10²+24²=DB²
676=DB²
⟹DB=26m
Area of △ABD⇒ (By heron's)
S=226+18+16/2=30
A=under root using .30(30_26)(30_18)(30_16)
=141.98≈142m2
∴ Total area =142+120=262m²
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