SOLUTION: A square has a side of A inches. If each side is increased by m inches to form a new square, by how many square inches is the area of the original square increased?

Algebra ->  Parallelograms -> SOLUTION: A square has a side of A inches. If each side is increased by m inches to form a new square, by how many square inches is the area of the original square increased?      Log On


   



Question 936539: A square has a side of A inches. If each side is increased by m inches to form a new square, by how many square inches is the area of the original square increased?
Answer by TimothyLamb(4379) About Me  (Show Source):
You can put this solution on YOUR website!
original area:
a = AA
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new area:
b = (A + m)(A + m)
b = AA + 2Am + mm
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b - a = (AA + 2Am + mm) - AA
b - a = 2Am + mm
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answer:
the area of the original square is increased by = 2Am + mm sq.inches
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