SOLUTION: The sum of the length and the width of a rectangular region is equal to 205 feet, whereas the corresponding positive difference is 35 feet. Find the area of the enclosed rectangula

Question 105982: The sum of the length and the width of a rectangular region is equal to 205 feet, whereas the corresponding positive difference is 35 feet. Find the area of the enclosed rectangular region. ( Use 2-variable approaches)
Answer by alvinjohnburgos(11) (Show Source): You can put this solution on YOUR website!
If:
L = length
W = width
The sum of the length and the width of a rectangular region is equal to 205 feet:
eqn 1:
the corresponding positive difference is 35 feet:
eqn 2:
We will use the substitution method.
Isolate W:

Substitute (205 - L) in eq. 2:

Area of the rectangular region is:

The area of the rectangular region is 10200ft^2.
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