The sides of a right angled triangle containing the right angle are 4x cm and (2x -1) cm.

If the area of the triangle is 30 cm², calculate lengths of its sides.

(4x)(2x-1)/2 = 30

so find x, and then you have the sides
You can solve the quadratic, or note that you have
(2x)(2x-1) = 30
so which two consecutive numbers are factors of 30?