Question

find the perimeter of △cde. round your answer to the nearest hundredth.
image of grid with points a(-5,4), b(0,3), f(-2,1), c(4,-1), e(2,-3), d(4,-5)
the perimeter is about | 4 × units.

Explanation:

Step1: Find length of CD

Points C(4, -1) and D(4, -5). Since x-coordinates are same, distance is difference in y-coordinates.
$CD = |-1 - (-5)| = 4$

Step2: Find length of DE

Points D(4, -5) and E(2, -3). Use distance formula $d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$
$DE = \sqrt{(2 - 4)^2 + (-3 - (-5))^2} = \sqrt{(-2)^2 + (2)^2} = \sqrt{4 + 4} = \sqrt{8} \approx 2.83$

Step3: Find length of CE

Points C(4, -1) and E(2, -3). Use distance formula.
$CE = \sqrt{(2 - 4)^2 + (-3 - (-1))^2} = \sqrt{(-2)^2 + (-2)^2} = \sqrt{4 + 4} = \sqrt{8} \approx 2.83$

Step4: Calculate perimeter

Perimeter = CD + DE + CE = $4 + 2.83 + 2.83 = 9.66$

Answer:

9.66