Question

find the area and perimeter of the rectangle with vertices (5, -1), (5, -5), (-3, -5), and (-3, -1). note that you can draw in the scratch area below, but it is not part of the answer. scratch area (not part of answer) area: square perimeter: units

Explanation:

Step1: Calculate length of vertical side

Take points (5, -1) and (5, -5): length = $|-1 - (-5)| = 4$

Step2: Calculate length of horizontal side

Take points (5, -5) and (-3, -5): length = $|5 - (-3)| = 8$

Step3: Compute area

Area = length × width = $8×4 = 32$

Step4: Compute perimeter

Perimeter = $2×(length + width) = 2×(8+4)=24$

Answer:

Area: 32 square units
Perimeter: 24 units