How big is your heart?

• $x$ be the size of the square
• $r$ be The radius of the circle
• $h$ be the height of the bottom triangle

$x^2 = 2500 \implies x = 50$

$4r = 50 \implies r = 12.5$

$h = 50 -r = 37.5$

The area of the $4$ triangles $= 4 \times \cfrac{1}{2} rh = 2rh$

The blue angle $= \tan^{-1}{\cfrac{h}{r}} = \tan^{-1}{(3)}$

The area of the red part $= 2 \times \pi r^2 - 4 \cfrac{\tan^{-1}{(3)}}{360} \times \pi r^2 = (2 - \cfrac{\tan^{-1}{(3)}}{90} ) \times \pi r^2$

The area of the heart $= 2rh + (2 - \cfrac{\tan^{-1}{(3)}}{90} ) \times \pi r^2 = \boxed{1528.9}$