Question

directions: find the perimeter and area of each polygon on the coordinate plane. 5. a(-3,-1) b(2,-1) c(2,2) 6. w(-4,4) x(2,4) y(2,0) z(-4,0) 7. g(-3,0) h(0,3) i(3,0) j(0,-3) 8. r(-3,-1) s(0,3) t(4,-1) p = ______ a = ____ p = ____ a = ____ p = ____ a = ____ p = ____ a = ______

Explanation:

Step1: Find side - lengths using distance formula

For example, for two points $(x_1,y_1)$ and $(x_2,y_2)$, distance $d=\sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$.

Step2: Calculate perimeter

Sum of all side - lengths.

Step3: Calculate area

For triangle: $A=\frac{1}{2}\times base\times height$; for rectangle: $A = length\times width$; for rhombus: $A=\frac{1}{2}\times d_1\times d_2$ (where $d_1$ and $d_2$ are diagonals).

Answer:

(Answers vary for each polygon. Need to calculate side - lengths and use area formulas for each one separately.)