Question 26314
Let the length be x
Let the width be y
Now 2(x+y)=46
2x+2y=46
x+y=23
y=23-x (subsitution)


xy=126
x(23-x)=126
23x-x^2=126
{{{x^2-23x+126=0,x}}}
Factor take out the negative
x=14.
y=23-14
y=9
IF you need help on factoring the Quadratic e-mail be baack.


Hence, the length is 14 and the width is 9cm.
Paul.