Answer:
5.5 by 6cm
Explanation:
P=2x + 2y = 23
x+y= 11.5
y= 11.5 - x
x (11.5-x) =33
11.5x - x^2 = 33
( multiply by 2 to get rid of the decimal?)
23x -2x^2=66
23x-2x^2+66=0
(x-6)(2x - 11) = 0
sub. 6 into y=11.5-x=11.5-6=5.5
sub. 5.5, 5.5=11.5-x, x=11.5 - 5.5= 6
Therefore the dimensions of the rectangle are 6cm by 5.5cm.
hope u get an understanding from this!