Question

Find the perimeter of a quadrilateral with vertices at R (−2, 1), S (−5, 5), T (2, 5), U (5, 1). Round your answer to the nearest hundredth when necessary.

22 units

24 units

28 units

36 units

Answer 1

the perimeter will be distance RS + ST + TU + UR
recall that \(\bf \textit{distance between 2 points}\\ \quad \\
\begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
R&({\color{red}{ -2}}\quad ,&{\color{blue}{ 1}})\quad S&({\color{red}{ -5}}\quad ,&{\color{blue}{ 5}})
\end{array}\qquad
d = \sqrt{({\color{red}{ x_2}}-{\color{red}{ x_1}})^2 + ({\color{blue}{ y_2}}-{\color{blue}{ y_1}})^2}\)

and so on

Answer 2

thanks your a lifesaver