In the figure above, BC=DC=x and ABDE is a square with each side 5. Which of the following is a possible value of x for the perimeter of ABCDE to be less than 35 and greater than 32?

(D) 9

Explanation

The perimeter = 15 + 2x. Substituting values of x from the options we see that only option D is a valid option.

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