Question

use the triangular model and the dimensions provided to calculate the perimeter and area of the sail. round the area to the nearest tenth, if necessary. 14 ft 7 in, 11 ft 2 in, 13 ft 4 in, 13 ft 4 in

Explanation:

Step1: Convert inches to feet

1 inch = 1/12 feet.
13 ft 4 in = 13 + 4/12 = 13 + 1/3 = 13.333... ft
14 ft 7 in = 14+7/12 = 14.5833... ft
11 ft 2 in = 11 + 2/12 = 11+1/6 = 11.1666... ft

Step2: Calculate the perimeter of the triangle

The perimeter \(P\) of a triangle with side - lengths \(a\), \(b\), and \(c\) is \(P=a + b + c\).
\(P=13.333+14.583 + 11.167=39.083\approx39.1\) ft

Step3: Calculate the area of the triangle

The area \(A\) of a triangle with base \(b\) and height \(h\) is \(A=\frac{1}{2}bh\). Let's assume the base \(b = 14.583\) ft and height \(h = 11.167\) ft.
\(A=\frac{1}{2}\times14.583\times11.167=\frac{14.583\times11.167}{2}=\frac{162.87}{2}=81.435\approx81.4\) square - feet

Answer:

Perimeter: \(39.1\) ft
Area: \(81.4\) square - feet