Answer:
AED 72
Explanation:
You want the cost of fabric to cover the area of the composite sailboat shape shown in the figure.
Composition
By extending the upper horizontal line to the left, the shape can be divided into an upper triangle and a lower trapezoid.
The upper triangle will have a base of 12 -9 = 3 cm, and the lower trapezoid will have bases of 12 cm and 8 cm.
Area
The relevant area formulas are ...
A = 1/2bh . . . . . area of triangle with base b and height h
A = 1/2(b1 +b2)h . . . . . area of trapezoid with bases b1, b2, and height h
Application
The area of the given triangle is ...
A = 1/2(3 cm)(4 cm) = 6 cm²
The area of the given trapezoid is ...
A = 1/2(12 cm + 8 cm)(3 cm) = 1/2(20 cm)(3 cm) = 30 cm²
The total area of the figure is ...
total area = triangle area + trapezoid area
total area = 6 cm² +30 cm² = 36 cm²
Cost
The cost of the fabric is AED 2 per square centimeter. Then the cost of 36 square centimeters will be ...
(AED 2)/cm² × (36 cm²) = AED 72
Jon will spend AED 72 on fabric for his model sailboat.
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