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directions: find the perimeter and area of each 5. a(-3,-1) b(2,-1) c(2…

Question

directions: find the perimeter and area of each 5. a(-3,-1) b(2,-1) c(2,2) p = _ a = _

Explanation:

Step1: Find length of AB

$AB=\vert2 - (-3)\vert=5$

Step2: Find length of BC

$BC=\vert2-(-1)\vert = 3$

Step3: Find length of AC using distance formula

$AC=\sqrt{(2 - (-3))^{2}+(2-(-1))^{2}}=\sqrt{25 + 9}=\sqrt{34}$

Step4: Calculate perimeter

$P=5 + 3+\sqrt{34}=8+\sqrt{34}$

Step5: Calculate area

$A=\frac{1}{2}\times5\times3 = 7.5$

Answer:

$P = 8+\sqrt{34}$, $A = 7.5$