Say you know that a rectangle has an area of (a^2+4a+4) square inches, and you know that the width is (a+2) inches. Use long division to determine the length of the box.
We can't do long division here, I am wondering what your question really is.
Area/width= length
(a^2+4a+4)/(a+2= (a+2)(a+2)/a+2= a+2
looks like a square to me.
Long divison isn't the case for this kind of problem.It looks like a square.
To find the length of the rectangle, we can divide the area of the rectangle by its width using long division.
Step 1: Write the area and width expressions in long division format.
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(a+2) | a^2 + 4a + 4
Step 2: Divide the first term of the area expression (a^2) by the width (a+2).
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(a+2) | a^2 + 4a + 4
- (a^2 + 2a)
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(a+2) | 2a + 4
Step 3: Bring down the next term of the area expression (-2a).
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(a+2) | 2a + 4
- (2a + 4)
Step 4: Perform the subtraction.
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(a+2) | 0
Step 5: Since there are no more terms to bring down and we have a zero remainder, we can conclude that the length of the rectangle is zero.
Therefore, the length of the rectangle is 0 inches according to the given information.