Question

draw a rectangle with the coordinates of (0, 0), (4, 4), (5, 3), and (1, -1). use the distance formula to calculate the side lengths. what is the perimeter of the rectangle? round your answer to the nearest tenth. (1 point)
the perimeter is approximately \\(\square\\) units.

Explanation:

Step1: Calculate side length between (0,0) and (4,4)

Distance formula: $d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$
$d_1=\sqrt{(4-0)^2+(4-0)^2}=\sqrt{16+16}=\sqrt{32}\approx5.6568$

Step2: Calculate side length between (4,4) and (5,3)

$d_2=\sqrt{(5-4)^2+(3-4)^2}=\sqrt{1+1}=\sqrt{2}\approx1.4142$

Step3: Calculate perimeter (2*(d1+d2))

$Perimeter=2\times(5.6568+1.4142)=2\times7.071\approx14.1$

Answer:

14.1