SOLUTION: If a square is enlarged to a rectangle by lengthening one pair of sides 2 cm and the other pain of sides 3 cm. The area is increased by 36 cm^2 . Find the dimensions of the origina
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Question 752509: If a square is enlarged to a rectangle by lengthening one pair of sides 2 cm and the other pain of sides 3 cm. The area is increased by 36 cm^2 . Find the dimensions of the original square.
Can you please help me out? Thanks so much in advance:)
Can you please show the steps it would really help me understand:)
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
Let d = the distance between two consecutive endpoints of the original square.
area is .
Lengthening:
We want to find d.
You will have to simplify this. You will have a quadratic equation and its solution should be routine; either factoring or solution to quadratic formula.
.
.
looks like
and though tried seems not factorable.
Use quadratic equation solution.
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