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Question
Most of the sailboats have two sails, the jib and the mainsail. Assume that the sails are triangles. Find the total area sail of the sailboats to the nearest tenth.
Solution
In the sailboat,
Area of a triangle = `1/2` x Base × Height
In ΔABC, AC = Base = 22 + 20 = 42 m
BD = Height = 23.3 m
∴ Area of ΔABC = `1/2 xx 42 xx 22.3`
= `936.6/2`
= 468.3 m2
In another triangular part,
In ΔACE, EF = Height = 16.8 m
AC = Base = 22 + 20 = 42 m
∴ Area of ΔACE = `1/2 xx 42 xx 16.8`
= `705.6/2`
= 352.8 m2
∴ Area of sailboat = 468.3 + 352.8 = 821.1 m2
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