Question

carter is building a model sailboat. the boat will have two triangular sails. one sail will have a base of 24 inches and a height of 56 inches. the other sail will have a base of 14 inches and a height of 33 inches. what is the minimum amount of material carter needs to build the sails?
○ 1,806 inches²
○ 1,344 inches²
○ 903 inches²
○ 672 inches²

Explanation:

Step1: Calculate area of first sail

The formula for the area of a triangle is \(A=\frac{1}{2}bh\). For the first sail with \(b = 24\) inches and \(h=56\) inches, \(A_1=\frac{1}{2}\times24\times56\).

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Step2: Calculate area of second sail

For the second sail with \(b = 14\) inches and \(h = 33\) inches, \(A_2=\frac{1}{2}\times14\times33\).

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Step3: Calculate total area

The total area \(A = A_1+A_2\). So \(A=672 + 231=903\)

Answer:

\(903\) inches\(^{2}\) (the third option)