Question

problem 12 - part a
here are the vertices of rectangle frog: (-2, 5), (-2, 1), (6, 5), (6, 1). find the perimeter of this rectangle. if you get stuck, try plotting the points on a coordinate plane.
units

Explanation:

Step1: Find length of vertical side

Points \((-2,5)\) and \((-2,1)\) have same \(x\)-coordinate. Length is \(|5 - 1| = 4\).

Step2: Find length of horizontal side

Points \((-2,5)\) and \((6,5)\) have same \(y\)-coordinate. Length is \(|6 - (-2)| = 8\).

Step3: Calculate perimeter of rectangle

Perimeter formula: \(P = 2\times(\text{length} + \text{width})\). So \(P = 2\times(8 + 4) = 2\times12 = 24\).

Answer:

24