Question

use a two - dimensional model and the dimensions provided to calculate the perimeter and area of the sail. round the area to the nearest tenth, if necessary. perimeter ft in area ft²

Explanation:

Step1: Convert inches to feet

1 inch = $\frac{1}{12}$ feet. So 7 inches = $\frac{7}{12}\approx0.583$ feet, 4 inches = $\frac{4}{12}=\frac{1}{3}\approx0.333$ feet, 2 inches = $\frac{2}{12}=\frac{1}{6}\approx0.167$ feet. The side - lengths are 14.583 feet, 13.333 feet, 13.333 feet.

Step2: Calculate the perimeter

Perimeter $P$ of a triangle is the sum of its side - lengths. $P=14.583 + 13.333+13.333=41.249$ feet. $41.249$ feet = 41 feet and $0.249\times12\approx3$ inches.

Step3: Calculate the area

The area $A$ of a triangle with base $b$ and height $h$ is $A=\frac{1}{2}bh$. Here, assume base $b = 13.333$ feet and height $h = 11.167$ feet. $A=\frac{1}{2}\times13.333\times11.167=\frac{13.333\times11.167}{2}=\frac{148.89}{2}=74.445\approx74.4$ square feet.

Answer:

perimeter: 41 ft 3 in
area: 74.4 $ft^{2}$