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Area = 4x2 + 20x + 16
Width = 2x + 8
Length = ?
To begin, we will factorise all the expressions
Area = 4(x2 + 5x + 4) = 4(x+1)(x+4)
Width = 2(x+4)
Length = ?
The formula for Area is given by:
Area = Length . Width
(A dot has been used to represent multiplication in the above formula so as not to confuse it with the variable x)
Substituting in our expressions for Area and Width gives:
4(x+1)(x+4) = Length . 2(x+4)
Dividing both sides by 2(x+4) to solve for Length gives an answer of:
Length = 2(x+1)
If you look at the width and the length expressions, the width is longer than the length (which shouldn't be possible). It is most likely a mistake in the question.
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