SOLUTION: A square field had 5 m added to its length and 2 m added to its width. The field then had an area of 130 m squared. Find the length of a side of the original field.
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Question 772194: A square field had 5 m added to its length and 2 m added to its width. The field then had an area of 130 m squared. Find the length of a side of the original field.
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
Let 
represent the side of the original square. The rectangle formed by adding 5 to the length and 2 to the width must then have dimensions )
and )
. Since the area is the length times the width:
(x\ +\ 2)\ =\ 130)
FOIL the binomials, collect like terms, put the quadratic in standard form, and then solve for . Discard any negative root because a negative measure of length is absurd.
John
Egw to Beta kai to Sigma
My calculator said it, I believe it, that settles it
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