Areas of Trianels

Hi,

May I ask for some help regarding? I understand why A would be correct if they had the same lengths. But I am wondering how i can prove it is greater than B with different lengths/perimter.

Thanks

Hi, use the fact:

For a rectangle with a fixed perimeter, the square has the largest area.

Hi there,

Thank you for your help. This is understood.

However as they have different perimiters, I am struggling to prove beyond doubt that B is smaller. Is there any sure way?

Kind regards,
Hosni

What is the maximum value quantity B can take? This should be in reference to what i mentioned earlier.

As a further hint, a square can be split into 2 isosceles right triangles.