SOLUTION: A fenced-in rectagular region with the dimensions 4 meters by 7 meters is suddenly expanded by the same distance in each dimension. The resulting region is now 108 square meters in

Algebra ->  Rectangles -> SOLUTION: A fenced-in rectagular region with the dimensions 4 meters by 7 meters is suddenly expanded by the same distance in each dimension. The resulting region is now 108 square meters in      Log On


   

Question 864320: A fenced-in rectagular region with the dimensions 4 meters by 7 meters is suddenly expanded by the same distance in each dimension. The resulting region is now 108 square meters in size.
How much distance was added to each dimension?
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
d = the length added in each direction.

%28d%2B4%29%28d%2B7%29=108; knowing the original area is not necessary, but was 28 square meters.

d%5E2%2B11d%2B28=108
d%5E2%2B11d-80=0
%28d-5%29%28d%2B16%29=0
The meaningful distance added is 5 meters.
highlight%28d=5%29%29.