Question 1101255
.
<pre>
Area = L*W,   or

357 = w*(w+4).


Solve this quadratic equation

w^2 + 4w - 357 = 0,

{{{w[1,2]}}} = {{{(-4 +- sqrt(4^2+4*357))/2}}} = {{{(-4 +- 38)/2}}}.

The only positive root is  w = 17.


<U>Answer</U>.  The dimensions of the rectangle are 17 and 21 centimeters.


<U>Check</U>.   17*21 = 357.   ! correct !
</pre>

Solved.