Find the exact perimeter of quadrilateral $A B C D$ plotted below.

Choose 1 answer:
(A) $8+2 \sqrt{73}$
(B) $8+2 \sqrt{97}$
(c) $8+\sqrt{97}+\sqrt{73}$
(D) $3+\sqrt{7}+\sqrt{97}+\sqrt{73}$

Question

Find the exact perimeter of quadrilateral $A B C D$ plotted below.

Choose 1 answer:
(A) $8+2 \sqrt{73}$
(B) $8+2 \sqrt{97}$
(c) $8+\sqrt{97}+\sqrt{73}$
(D) $3+\sqrt{7}+\sqrt{97}+\sqrt{73}$

Accepted Answer

∻Solution by Steps∻ ‖ step 1 ⋮ To find the perimeter of quadrilateral $ABCD$, we need to sum the distances between consecutive vertices. ‖ ‖ step 2 ⋮ The distance between points $A$ and $B$ is $\sqrt{97}$, as calculated in asksia-ll step 1. ‖ ‖ step 3 ⋮ The distance between points $B$ and $C$ is $5$, as calculated in asksia-ll step 2. ‖ ‖ step 4 ⋮ The distance between points $C$ and $D$ is $3$, as calculated in asksia-ll step 3. ‖ ‖ step 5 ⋮ The distance between points $D$ and $A$ is $\sqrt{73}$, as calculated in asksia-ll step 4. ‖ ‖ step 6 ⋮ Adding the distances from steps 2, 3, 4, and 5 to find the perimeter: $\sqrt{97} + 5 + 3 + \sqrt{73}$. ‖ ‖ step 7 ⋮ Simplifying the sum gives us the exact perimeter: $8 + \sqrt{97} + \sqrt{73}$. ‖ ***C*** ∻Key Concept∻ ⚹Perimeter of a Polygon⚹ ∻Explanation∻ ⚹The perimeter of a polygon is the sum of the lengths of its sides, which can be found by calculating the distance between consecutive vertices.⚹◊What is the formula for calculating the perimeter of a quadrilateral on a coordinate plane⍭ Generate me a similar question◊

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