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.

Answer 1

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