Question

The area of a rhombus is 31 feet squared one diagonal is 14 ft long. Find the length of the other diagonal

Answer 1

The diagonals bisect each other, and are perpendicular. So, drawing the diagonal of 14, you have two triangles with base 14 and altitude 1/2 of the other diagonal. So, if the other diagonal has length 2x, then

2( 1/2 * 14 * x) = 31
x = 31/14

and the other diagonal is 31/7 ft