Question

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

Explanation:

Step1: Find length of CD

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

Step2: Find length of CE

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

Step3: Find length of DE

Points D(4, -5) and E(2, -3). Use distance formula: $\sqrt{(4 - 2)^2 + (-5 - (-3))^2} = \sqrt{2^2 + (-2)^2} = \sqrt{8} \approx 2.83$.

Step4: Calculate perimeter

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

Answer:

9.66