Most of the sailboats have two sails, the jib and the mainsail. Assume that the sails are triangles. Find the total area of each sail of the sailboats to the nearest tenth.
Solution:
The diagram below shows the three sailboats below:
Area of sails of sailboat#1 = 1/2 × (20 + 22) × 22.3 + 1/2 × (20 + 22) × 16.8
= 21 × 22.3 m² + 21 × 16.8
= 468.3 m² + 352.8 m²
= 821.1 m²
Area of sails of sailboat #2
= 1/2 × (10.9) × 19.5 + 1/2 × (23.9) × 8.6
= 106.275 + 102.77
= 209.1m²
Area of sails of sailboat#3
= 1/2 × (3.0) × 8.9 + 1/2 × (9.6) × 16.8 + 1/2 × (25) × 12.4
= 1.5 × 8.9 + 4.8 × 16.8 + 12.5 × 12.4
= 13.35 + 80.64 + 155
= 13.35 + 235.64
= 248.97m²
✦ Try This: Most of the sailboats have two sails, the jib and the mainsail. Assume that the sails are triangles. Find the total area of each sail of the sailboats.
The diagram below shows the three sailboats below:
Area of sails of sailboat#1 = 1/2 × (20 + 20) × 25 + 1/2 × (20 + 20) × 17
= 20 × 25 m² + 20 × 17
= 500 m² + 340 m²
= 840 m²
Area of sails of sailboat #2
= 1/2× (10) × 20 + 1/2 × (24) × 9
= 100 + 288
= 388 m²
Area of sails of sailboat#3
= 1/2 × (4) × 9 + 1/2 × (10) × 17 + 1/2 × (24) × 12
= 18 + 5 × 17 + 12 × 12
= 18 + 85 + 144
= 18 + 229
= 248 m²
☛ Also Check: NCERT Solutions for Class 8 Maths Chapter 11
NCERT Exemplar Class 8 Maths Chapter 11 Problem 66
Most of the sailboats have two sails, the jib and the mainsail. Assume that the sails are triangles. Find the total area of each sail of the sailboats to the nearest tenth.
Summary:
Most of the sailboats have two sails, the jib and the mainsail. Assume that the sails are triangles. The total area of each sail of the sailboats to the nearest tenth is 352.8m², 468.3m²(Sailboat#1), 106.3m² , 102.8m² (Sailboat#2), 235.64m², 13.35m² Sailboat#3
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