Given:
The length of the given rectangle is l =(2x+2) cm.
The width of the given rectangle is w =(3x-3) cm.
The perimeter of the given rectangle is P =58cm.
Required:
We need to find the area of the rectangle.
Step-by-step explanation:
Consider the perimeter of the rectangle formula.

Substitute l=2x+2, w =3x-3 and P=58 in the formula.



Add 2 to both sides of the equation.


Divide both sides by 10.


Substitute x =6 in the equations l=2x+2.



The area of the rectangle is

Substitute l=14cm and w =15cm in the formula.


Final answer:
The area of the given rectangle is 210 square cm.