SOLUTION: The area of a rectangle is {{{ 270cm^2 }}}. If the shorter side was reduced by 2cm and the longer side was increased by {{{ 16cm^2 }}}. Find the lengths of the sides of the origina

Question 824617: The area of a rectangle is . If the shorter side was reduced by 2cm and the longer side was increased by . Find the lengths of the sides of the original rectangle.
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
You omitted a piece of data. Let us say the longer side is increased by a positive k amount. We could then say shorter side is x-2 and longer side is y+k.

Originally, . Later, through length changes, .
Change equation is also , and knowing xy=270, this means

Try again, giving by how much was longer side increased.

Watch your problem description carefully. To say that the longer side is increased by is wrong. You must really mean, "increased by 16 cm".
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