Question

Find the value of x when the given figure is a square.

Answer 1

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Answer 2

Answer:

Step-by-step explanation:

Form a smaller square, 3 by 3, in the centre of the bigger square, x by x, and 4 similar right triangles with length of 12 by 9 by extending the length of each of the 4 corners of the smaller square to each of the bigger square.

area of triangle = 4 x (1/2) x 12 x 9 + 3 x 3 = 225

x = sqrt 225 = 15