Question

1. rectangle wxyz has consecutive vertices w(-9, -3), x(-9, 5), y(-2, 5), and z(-2, -3). find the perimeter and area of rectangle wxyz. (example 3)

Explanation:

Step1: Calculate length of WX

Since W(-9,-3) and X(-9,5) share the same x-coordinate, the length is the absolute difference of y-coordinates:
$|5 - (-3)| = 8$

Step2: Calculate length of XY

Since X(-9,5) and Y(-2,5) share the same y-coordinate, the length is the absolute difference of x-coordinates:
$|-2 - (-9)| = 7$

Step3: Calculate perimeter of rectangle

Use perimeter formula $P=2(l+w)$ where $l=8$, $w=7$:
$P=2(8+7)=2\times15=30$

Step4: Calculate area of rectangle

Use area formula $A=l\times w$ where $l=8$, $w=7$:
$A=8\times7=56$

Answer:

Perimeter: $30$, Area: $56$