Question

Could someone help me figure this out?

Answer 1

Answer:

The area of a rectangle is the length multiplied by its breadth.

Since the length is $3(n-1)$ and the breadth is $n+2$ and the area is 54, you can form an equation as followed:

$3(n-1)*n+2=54$

$3n(n-1)+2=54$

Expand:

$(3n*n)-(3n*1)+2=54$

$3n^2-3n+2=54$

Subtract both sides by 54:

$3n^2-3n+2-54=54-54$

$3n^2-3n-52=0$