The longer diagonal of a rhombus is 2 times as long as the shorter diagonal. Find the length of the shorter diagonal if the area is 24in squared.

Answer 1

The area of a rhomus is (1/2) the product of their diagonals
http://www.mathsteacher.com.au/year8/ch12_area/05_rhombus/rhombus.htm

so let one diagonal be x, the other be 2x

x(2x) = 24
2x^2 = 24
x^2 = 12
x = √12 = 2√3

form your conclusions.