Question

what is the perimeter of $delta wxy$?
perimeter = $square$ units

Explanation:

Step1: Identify coordinates

Coordinates: $W(-1, 10)$, $X(-1, -2)$, $Y(-10, 10)$

Step2: Calculate length of WX

Vertical line, subtract y-values:
$\vert10 - (-2)\vert = 12$

Step3: Calculate length of WY

Horizontal line, subtract x-values:
$\vert-1 - (-10)\vert = 9$

Step4: Calculate length of XY

Use distance formula $d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$:
$\sqrt{(-10 - (-1))^2+(10 - (-2))^2}=\sqrt{(-9)^2+(12)^2}=\sqrt{81+144}=\sqrt{225}=15$

Step5: Sum lengths for perimeter

Add all three side lengths:
$12 + 9 + 15$

Answer:

36 units