Find the area of a rhombus with a perimeter of 20 meters and a diagonal of 8 meters?

Question

Find the area of a rhombus with a perimeter of 20 meters and a diagonal of 8 meters?

Answer 1

The perimeter is 20, so the sidelength is 20/4 = 5.

The diagonal is 8, so half that diagonal is 4 (draw the rhombus along with both its diagonals to see what we just found).

Turns out the rhombus is made of four 3-4-5 triangles. This means the area of the rhombus is 4 * (1/2 * 3 * 4) = 24 meters squared.