Question

The diagonals of a kite are in the ratio 3 : 2. The area of the kite is 27cm(squared). find the length of both diagonals.

Answer 1

`P= 27 \ cm^2 \\ \\P=(1)/(2) e * f \\ \\ f =3x , \ e = 2x \\ \\27=(1)/(2)*2*3x \\ \\27=3x/:3`


`x=3 \\ \\ f =3x =3 *3= 9 \ cm \\ \\ \ e = 2x = 2*3 = 6cm`