Question

3 what is the perimeter of the quadrilateral below? if necessary, round to the nearest tenth. a. 20 units b. 21 units c. 30 units d. 36 units

Explanation:

Step1: Find the length of each side

Use the distance formula \(d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}\) or count grid units for horizontal/vertical sides.

• Let the vertices be \(A(-3,3)\), \(B(5,3)\), \(C(5,0)\), \(D(-3,-6)\).
• Length of \(AB\): \(|5 - (-3)|=8\) (horizontal side).
• Length of \(BC\): \(|3 - 0| = 3\) (vertical side).
• Length of \(CD\): \(\sqrt{(5 - (-3))^2+(0 - (-6))^2}=\sqrt{64 + 36}=\sqrt{100}=10\).
• Length of \(DA\): \(|3-(-6)| = 9\) (vertical side).

Step2: Calculate the perimeter

Perimeter \(P=AB + BC+CD + DA\).
\(P=8 + 3+10 + 9\).

Answer:

\(30\) units, so the answer is C.