Question

(2 1/4t-5), (4t+3),(1/2t-1), and (3t+2)simplified expression that represent the perimeter of an irregular quadrilateral with side lengths shown above.

Answer 1

Given:

Sides length is:

`\begin{gathered} \text{first side =2}(1)/(4)t-5 \\ =(9)/(4)t-5 \end{gathered}`
`\begin{gathered} 2^(nd)\text{ side=}4t+3 \\ \\ 3^(rd)\text{ side}=(1)/(2)t-1 \\ \\ 4^(th)\text{ side=}3t+2 \end{gathered}`

Perimeter of any quadrilateral is:

`\text{Perimeter = first side +2 side +3 side +4 side}`

so perimeter is:

`\begin{gathered} \text{Perimeter = }\frac{9\text{ }}{4}t-5+4t+3+(1)/(2)t-1+3t+2 \\ =(39)/(4)t-1 \end{gathered}`