SOLUTION: Can you please help me on this problem. I dont get it. A corner lot that originally was square lost 185 m^2 of area when one of the adjacent streets was widened by 3 m and the o

Question 162235: Can you please help me on this problem. I dont get it.
A corner lot that originally was square lost 185 m^2 of area when one of the adjacent streets was widened by 3 m and the other was widened by 5 m. Find the new dimensions of the lot. (Hint: Let x= the length of a side of the origanal square lot.)
Sincerly,
Very confused student
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
OK, first the lot was a square with side, x.
Its original area was or .
The street was widened on one side, that x shrunk by 3, so it's now (x-3).
The other side street was widened and that side shrunk by 5, so it's now (x-5).
Now instead of a square, you have a rectangle.
The new area is .
You know that you lost 185 in from old to new area.

Substitute with variable expression for areas.

Use the FOIL method on the left hand side,

.
.
.
The original lot was 25m x 25m (625 m^2).
The new lot is 22m x 20m (440 m^2).

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