Lines, Angles, and Triangles

SAT Math· difficulty 5/5

An equilateral triangle and a square have equal perimeters. If the side of the equilateral triangle is 12, what is the area of the square?

  • A

    81\sqrt{81}

  • B

    3636

  • C

    144

  • D

    81

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Explanation

Perimeter of triangle =36= 36. Square side =36/4=9= 36/4 = 9. Area =92=81= 9^2 = 81.

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