SOLUTION: Perimeter 54 cm, area 92 cm How do I draw that? I've tried a lot of things but I don't understand... Please help!! :) Thank you.

Algebra ->  Rectangles -> SOLUTION: Perimeter 54 cm, area 92 cm How do I draw that? I've tried a lot of things but I don't understand... Please help!! :) Thank you.      Log On


   

Question 840917: Perimeter 54 cm, area 92 cm
How do I draw that? I've tried a lot of things but I don't understand... Please help!! :) Thank you.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
First you have to solve for the length and the width.
Perimeter:
P=2L%2B2W=54
1.L%2BW=27
Area:
2.L%2AW=92
L=92%2FW
Substitute into eq. 1,
92%2FW%2BW=27
92%2BW%5E2=27W
W%5E2-27W%2B92=0
%28W-23%29%28W-4%29=0
Two solutions:
W-23=0
W=23 then L=4
and
W-4=0
W=4 then L=23
So now you have the length and width and can easily draw the rectangle.