The area of a rhombus is `144\ c m^2` and one of its diagonal is double the other. The length of the longer diagonal is
(a)12 cm
(b) 16 cm
(c)18 cm
(d) 24 cm

Explanation

Area of rhombus=`1/2` x product of diagonals

let `d_1=d and d_2=2d`

substituting in the formula we get=>`1/2 xx d xx 2d=144`

=>`d=+-12` rejecting negative sign as side cannot be negative.

length of diagonals are 12cm and 24 cm.