Question 120556
The perimeter (P) of a rectangle is:
{{{P=2l+2w}}} where l=length and w=width.
Based on the information given, we can use this equation to determine the sides of the rectangle, and from that, we can get the area.
Re-write the Perimeter equation based on the information given:
{{{360=2(w+20)+2w}}}
Solve for w:
{{{360=2w+40+2w}}}
{{{4w=320}}}
{{{w=80}}}
Now that you have w, you can easily find l:
{{{l=w+20}}}
{{{l=80+20}}}
{{{l=100}}}
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So now you have the length and the width - this is what you need to find the area, since the equation for the area of a rectangle is:
{{{A=l*w}}}
Substituting in:
{{{A=100*80}}}
{{{highlight(A=8000)}}} cm^2
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Good Luck,
tutor_paul@yahoo.com