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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 of sail of the sailboats to the nearest tenth.
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Solution
In sailboat,
Area of triangle = `1/2` × Base × Height
In ΔABC, AB = 8.9 m and BC = 3 m.
Area of ΔABC = `1/2 xx BC xx AB`
= `1/2 xx 8.9 xx 3`
= `26.7/2`
= 13.35 m2
In another triangular part,
Area of ΔDEF = `1/2 xx DF xx EG`
= `1/2 xx 25 xx 12.4`
= 155 m2
In another triangular part,
Area of ΔDEH = `1/2 xx DE xx EH`
= `1/2 xx 9.6 xx 16.8`
= 80.64 m2
∴ Area of sailboat = 155 + 80.64 = 235.64 m2
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