The area of a rectangle is 54cm².the length of the rectangle is 3cm more than its breath.Determine the length and the breath of the rectangle

Question

The area of a rectangle is 54cm².the length of the rectangle is 3cm more than its breath.

Answer 1

If the length is L then the breadth is L-3 and the area is L(L-3)=54.

So L²-3L=54, that is, L²-3L-54=0=(L-9)(L+6), so length, L=9cm and breadth is 6cm