finish ginos work to find the length of side ab.

\ab = \sqrt{(-3-1)^2 + (2-5)^2}\
\= \sqrt{(-4)^2 + (-3)^2}\

what is the perimeter of quadrilateral abcd?

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Question

finish ginos work to find the length of side ab.

\ab = \sqrt{(-3-1)^2 + (2-5)^2}\
\= \sqrt{(-4)^2 + (-3)^2}\

what is the perimeter of quadrilateral abcd?

15 units
17 units
18 units
20 units

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [], "new_concepts": [ "Distance Formula", "Perimeter of Polygons", "Coordinate Geometry" ], "current_concepts": [ "Distance Formula", "Perimeter of Polygons", "Coordinate Geometry" ] } ## Calculate the length of side AB $$ \begin{aligned} AB &= \sqrt{(-3-1)^2 + (2-5)^2} \ &= \sqrt{(-4)^2 + (-3)^2} \ &= \sqrt{16 + 9} \ &= \sqrt{25} \ &= 5 \end{aligned} $$ ## Calculate the lengths of sides BC, CD, and DA $$ \begin{aligned} BC &= 5 - (-2) = 7 \ CD &= 1 - (-3) = 4 \ DA &= 2 - (-2) = 4 \end{aligned} $$ ## Sum the side lengths to find the perimeter $$ \begin{aligned} \text{Perimeter} &= AB + BC + CD + DA \ &= 5 + 7 + 4 + 4 \ &= 20 \end{aligned} $$

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{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Geometry", "Coordinate Geometry" ] }

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QUESTION IMAGE

Question

Explanation:

Calculate the length of side AB

Calculate the lengths of sides BC, CD, and DA

Sum the side lengths to find the perimeter

Answer: