Rectangle is divided by four lines, as shown, with 4 resulting triangles & known areas. Find area of grey quadrilateral?

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A rectangle is divided by four lines, as shown, with 4 of the resulting triangles having known areas. Find the area of the quadrilateral that is shaded in grey.

As shown, a rectangle is partitioned into four triangles: 1 equilateral and 3 right triangles. The areas of two of the right triangles are 30 and 50. Find the area of the remaining right triangle?

Four right triangles with distinct integer hypotenuses are put together to form a quadrilateral, as shown in image.
What's the smallest possible perimeter of this quadrilateral?

Note: Legs of the triangles need not to be integers.