Gregmat | quant easy to hard quiz2 level 1

GRE Quant Problem Solving
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  1. A square can be a rectangle therefore I assumed the sides to be 5 and that’s how I deduced the area to be 5*5 = 25.
  2. For the area of a triangle to be maximum it should be an equilateral triangle. therefore the formula I used to deduce quantity a is (root 3)/4 * 5^2.

Based on this quantity b should be bigger. where did I go wrong in my deductions?

2

You do not need calculations for this - The maximum area of a triangle that can be inscribed in a rectangle is half of area of the rectangle.

For example: If the rectangle has length ‘l’ and width ‘w’ . Area of rectangle = l*w
Then the triangle that can be formed will have base ‘l’ and height ‘w’
Area of triangle = 1/2 * l * w = 1/2 * Area of rectangle.

Now, in the question, area of rectangle is 25. So a triangle with maximum area of [25/2 = 12.5] can be inscribed in the rectangle. So A is the answer.

Hope that helps.

2 Likes
3

Yeah, you’re right here !!! he’s probably said this in one of the videos as well and I’ve missed it. thanks much!