GMAT Question of the Day – Problem Solving – Geometry

The perimeter of a right isosceles triangle is 8x + 4x√2. In terms of x what is the area of the triangle?

A. 4x

B. 8x^2

C. 16x^2

D. 24x

E. 32x^2

[spoiler]C.[/spoiler]

GMAT Question of the Day Solution:

Start by defining what you are looking for – in this case the area of an isosceles right triangle or s^2. You have been given the perimeter so go ahead and set the given perimeter to the standard perimeter of an isosceles right triangle. Simplify and solve for s. Now square that result because you are looking for the area.