Find the perimeter of the figure in radical form with the radicals simplified.
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D) 120

Question

Quizplus · Accepted Answer

To find the perimeter, we need to add up the lengths of all sides.

Starting from the top left corner and going clockwise, the lengths are:

1) 2 
2) sqrt(8) 
3) 4 
4) sqrt(8)

Adding all four lengths, we get:
2 + sqrt(8) + 4 + sqrt(8)

We can simplify the two radical terms:

sqrt(8) = sqrt(4*2) = sqrt(4) * sqrt(2) = 2sqrt(2)

Substituting this back into the expression, we get:
2 + 2sqrt(2) + 4 + 2sqrt(2)

Combining like terms, we get:
6 + 4sqrt(2)

So the answer is C) 11ebb63d_1bfb_82af_b851_df68c1fee33b_TB8475_11. To find the perimeter, we add up the lengths of all the sides. Using the Pythagorean theorem, we can find the length of the hypotenuse of the right triangle to be $\sqrt{16^2 + 9^2}= \sqrt{337}$. Therefore, the perimeter is $4+9+\sqrt{337} = 13+\sqrt{337}$ which is equivalent to choice C with simplified radicals.

Find the Perimeter of the Figure in Radical Form with the Radicals