Let's start by using the formula for the area of a square, which is A = s^2, where A is the area and s is the length of a side.
If the length of each side of the square is increased by 4 cm, then the new length of a side is x + 4 cm. The new area of the square is (x + 4)^2.
We know that the area is increased by 392 cm^2, so we can set up an equation:
(x + 4)^2 - x^2 = 392
Expanding the left side of the equation, we get:
x^2 + 8x + 16 - x^2 = 392
Simplifying, we get:
8x + 16 = 392
Subtracting 16 from both sides, we get:
8x = 376
Dividing both sides by 8, we get:
x = 47
Therefore, the length of each side of the original square is 47 cm.
A square has X cm each side. If each side of the square is increased by 4 cm, the are us increased by 392 cm^2 . Calculate x.
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