Math Problem of the Week #3

A square and a equilateral triangle are equal in area. Another square shares one of the sides of the equilateral triangle. If the area of the first square is 169 in2, then what is the area of the second square? Express your answer in simplest radical form.

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4 thoughts on “Math Problem of the Week #3

  1. Not quite. Pretty close though! The answer is 676sqrt(3)/3, or about 390.29

    You have to set the equation for the area of an equilateral triangle equal to 169, then solve it to get the side s. You then square s to get the answer.

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