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 sailboat,

Area of a triangle = `1/2` × Base × Height

In ΔABC, ∠B = 90°, base (BC) = 10.9 m and height (AB) = 19.5 m

Area of ΔABC = `1/2 xx 10.9 xx 19.5`

= `212.55/2`

= 106.275 m²

In another triangular part,

Area of ΔDEF = `1/2 xx DF xx EH`

= `1/2 xx 23.9 xx 8.6`

= `205.54/2`

= 102.77 m² 

Area of sailboat = 106.275 + 102.77 = 209.045 m²