Question

Math

Posted 2 months ago

```
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) $3+\sqrt{7}+\sqrt{97}+\sqrt{73}$
```

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Answer from Sia

Posted 2 months ago

Solution by Steps

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.

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