Question

1. find the area and the perimeter of ▱wxyz. w (-1,1) x (4,1) y (2,-2) z (-3,-2)
2. the diagram below shows the vertices of a lion sanctuary. each unit is the coordinate plane represents 100 feet. find the perimeter and the area of the sanctuary.

Explanation:

Step1: Find side - lengths using distance formula

For W(-1,1) and X(4,1), $d_{WX}=\sqrt{(4 - (-1))^{2}+(1 - 1)^{2}} = 5$.
For X(4,1) and Y(2,-2), $d_{XY}=\sqrt{(2 - 4)^{2}+(-2 - 1)^{2}}=\sqrt{4 + 9}=\sqrt{13}$.
Since it's a parallelogram, opposite sides are equal.

Step2: Calculate perimeter and area

Perimeter $P = 2(5+\sqrt{13})$. Area: base = 5, height from Y to WX is 3, so $A=5\times3 = 15$.

For the lion - sanctuary:

Step1: Analyze side - lengths

Horizontal and vertical side - lengths can be counted.

Step2: Calculate perimeter and area

Perimeter: count sides, convert to feet. Area: divide into rectangles and sum areas.

Answer:

For parallelogram WXYZ: Perimeter $P = 2(5+\sqrt{13})$, Area $A = 15$.
For lion - sanctuary: Perimeter and area depend on counting grid units and converting to feet. (Need more details to give exact values)