Question

find the area and perimeter of the rectangle with vertices (1, 7), (-3, 7), (-3, -2), and (1, -2). note that you can draw in the scratch area below, but it is not part of the answer. scratch area (not part of answer)

Explanation:

Step1: Calculate length of one side

Vertices (1,7) and (-3,7) have same y-coordinate. Length = $|1 - (-3)| = 4$.

Step2: Calculate length of adjacent side

Vertices (-3,7) and (-3,-2) have same x-coordinate. Length = $|7 - (-2)| = 9$.

Step3: Compute area

Area = length × width = $4×9 = 36$.

Step4: Compute perimeter

Perimeter = $2×(length + width) = 2×(4+9) = 26$.

Answer:

Area: 36, Perimeter: 26