Question

question 8 (5 points)
listen
find the perimeter of the polygon abcd shown in the graph.
a) 18 units
b) 72 units
c) 36 units
d) 81 units

Explanation:

Step1: Determine the side lengths

• Length of \(AB\): \(6 - (- 3)=9\) units (using the \(y -\)coordinates of \(A(-4,-3)\) and \(B(-4,6)\)).
• Length of \(BC\): \(5-(-4) = 9\) units (using the \(x -\)coordinates of \(B(-4,6)\) and \(C(5,6)\)).

Since \(ABCD\) is a rectangle (opposite sides are equal), \(CD = AB = 9\) units and \(DA=BC = 9\) units.

Step2: Calculate the perimeter

Perimeter of a rectangle \(P=2(l + w)\), where \(l\) and \(w\) are length and width. Here \(l = 9\) and \(w = 9\).
\(P=2(9 + 9)=2\times18 = 36\) units.

Answer:

C. 36 units