Question

what is the perimeter of rectangle hijk? perimeter = units

Explanation:

Step1: Find the length of one - side

Count the horizontal distance between two adjacent vertices. For example, between \(I(0,3)\) and \(J(- 4,3)\), the length of \(IJ\) is \(|0-(-4)| = 4\) units.

Step2: Find the length of the other - side

Count the vertical distance between two adjacent vertices. For example, between \(I(0,3)\) and \(H(0, - 6)\), the length of \(IH\) is \(|3-(-6)|=9\) units.

Step3: Use the perimeter formula for a rectangle

The perimeter formula of a rectangle is \(P = 2(l + w)\), where \(l\) is the length and \(w\) is the width. Here, \(l = 9\) and \(w = 4\). So \(P=2(9 + 4)=2\times13 = 26\) units.

Answer:

26