Question

Find the perimeter of the quadrilateral, round to the nearest tenth if necessary

Answer 1

We will use the rule of tangents drawn from a point outside the circle to solve the question

If two tangent segments are drawn from a point outside the circle, then they are equal in length

From the given figure we can see a circle and 8 tangents are drawn from 4 points outside the circle

Then every 2 tangents are drawn from a point outside the circle are equal in lengths

Let us draw a sketch to see them

Now, we can find the length of each side of the quadrilateral

`\begin{gathered} 8.1+5.9=14 \\ 8.1+5.8=13.9 \\ 5.8+10=15.8 \\ 10+5.9=15.9 \end{gathered}`

To find the perimeter we will add the lengths of the 4 sides

`\begin{gathered} P=14+13.9+15.8+15.9 \\ P=59.6 \end{gathered}`

The perimeter of the quadrilateral is 59.6

The answer is the 3rd choice