Diagonal AC of rectangle ABCD creates angle ACB, the tangent of which is 8. If the length of side BC is 8 units, what is the perimeter of rectangle ABCD?

Question

Accepted Answer

The tangent of angle ACB is equal to the length of AB divided by the length of BC. Therefore, if the length of BC is 8 units, then AB ⁄ 8 = 8, and AB = 64. The perimeter of ABCD is equal to 64 + 8 + 64 + 8 = 144 units.

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