SOLUTION: The length of a rectangle is 20cm greater than its width. The perimeter is 360cm. What is the area? I really don't understand this, could someone please help?

Question 120556: The length of a rectangle is 20cm greater than its width. The perimeter is 360cm. What is the area?
I really don't understand this, could someone please help?
Answer by tutor_paul(519) (Show Source): You can put this solution on YOUR website!
The perimeter (P) of a rectangle is:
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:

Solve for w:

Now that you have w, you can easily find l:

-------------------
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:

Substituting in:

cm^2
====================
Good Luck,
tutor_paul@yahoo.com
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