Question

part a
rectangle $abcd$ has consecutive vertices $a(-4, -8)$ , $b(-4, 2)$, $c(2, 2)$, and $d(2, -8)$.
what is the perimeter of rectangle $abcd$?
○ a) 16 units
○ b) 24 units
● c) 32 units
○ d) 36 units

part b
what is the area of rectangle $abcd$?
○ a) 12 square units
○ b) 20 square units
○ c) 36 square units
○ d) 60 square units

Explanation:

Step1: Calculate length of AB

Since $A(-4,-8)$ and $B(-4,2)$ share the same x-coordinate, the length is the absolute difference of y-coordinates:
$|2 - (-8)| = |10| = 10$ units

Step2: Calculate length of BC

Since $B(-4,2)$ and $C(2,2)$ share the same y-coordinate, the length is the absolute difference of x-coordinates:
$|2 - (-4)| = |6| = 6$ units

Step3: Find perimeter of rectangle

Perimeter formula: $P = 2(l + w)$
$P = 2(10 + 6) = 2(16) = 32$ units

Step4: Find area of rectangle

Area formula: $A = l \times w$
$A = 10 \times 6 = 60$ square units

Answer:

Part A: C) 32 units
Part B: D) 60 square units