A rectangle has a perimeter of 23cm. Its area is 33cm². Determine the dimensions of the rectangle.
Can anyone help?
Use one of the equations to isolate a variable, then substitute that into the other equation, for example
$\displaystyle lw = 33$
$\displaystyle l = \frac{33}{w}$
Substitute:
$\displaystyle 2l + 2w = 23$
$\displaystyle 2\left(\frac{33}{w}\right) + 2w = 23$
$\displaystyle 66 + 2w^2 = 23w$
Solve for $\displaystyle w$, then use either equation to find $\displaystyle l$ given $\displaystyle w$.