Explanation:
The diagram is a triangle.
The area of triangle = 1/2 *base * height
Base = 14ft 7 inch
we need to convert to same unit:
12inch = 1 foot
7 inch = 7/12 foot
Base = 14 + 7/12 = 14 7/12 ft
Height = 11ft 2 in
2 inch in foot = 2/12 = 1/6 ft
Height = 11+1/6 = 11 1/6 ft
[tex]\begin{gathered} \text{Area = }\frac{1}{2}\times14\frac{7}{12}ft\times11\frac{1}{6}ft \\ =\text{ }\frac{1}{2}\times\frac{175}{12}\times\frac{67}{6}\text{ = }\frac{11725}{144} \\ Area=\text{ }81.4ft^2\text{ (nearest tenth)} \end{gathered}[/tex]Perimeter = sum of all 3 sides of the triangle
We need to convert the remaining side: 13ft 4 in
4 inch in ft = 4/12 = 1/3 ft
13ft 4 in = 13+ 1/3 = 13 1/3 ft
Perimeter = 14ft 7 inch + 13ft 4 inch + 13ft 4 inch
Perimeter = 14 7/12 ft + 13 1/3 ft + 13 1/3 ft
[tex]\begin{gathered} \text{Perimeter = 14+13+13 +7/12+1/3+ 1/3} \\ =\text{ 40+ }\frac{7+4+4}{12} \\ =\text{ 40 + }\frac{15}{12}=\text{ 40 +}\frac{5}{4}\text{ =40 +1}\frac{1}{4} \\ \text{perimeter = 41}\frac{1}{4}ft\text{ = 41.25ft} \\ \text{Perimeter = 41.3ft (nearest tenth)} \end{gathered}[/tex]