Question

May I please get help and not be ignored again?

Answer 1

`\begin{gathered} Area=\text{ }81.4ft^2\text{ (nearest tenth)} \\ \text{Perimeter = 41.3ft (nearest tenth)} \end{gathered}`

Step-by-step 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

`\begin{gathered} \text{Area = }(1)/(2)*14(7)/(12)ft*11(1)/(6)ft \\ =\text{ }(1)/(2)*(175)/(12)*(67)/(6)\text{ = }(11725)/(144) \\ Area=\text{ }81.4ft^2\text{ (nearest tenth)} \end{gathered}`

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

`\begin{gathered} \text{Perimeter = 14+13+13 +7/12+1/3+ 1/3} \\ =\text{ 40+ }(7+4+4)/(12) \\ =\text{ 40 + }(15)/(12)=\text{ 40 +}(5)/(4)\text{ =40 +1}(1)/(4) \\ \text{perimeter = 41}(1)/(4)ft\text{ = 41.25ft} \\ \text{Perimeter = 41.3ft (nearest tenth)} \end{gathered}`