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Olenka [21]
3 years ago
14

The length of a side of a rectangle is 2 units less than a number, and the width is 4 units more than the length. Which of the f

ollowing expressions represents the area of the rectangle, in square units?
Mathematics
1 answer:
777dan777 [17]3 years ago
6 0
Let's find the expressions for the length and width of the rectangle. The length (which we will call <em>l</em>) is 2 units less than some undefined number, thus we will use the variable <em>x</em>:
l = x - 2

The width is 4 more than this length:
w = l + 4 = (x - 2) + 4 = x + 2

Now, given that we have the length and width and are looking for the area, we need to multiply these expressions together.

One way to write this would simply be (x + 2)(x - 2). If we wanted to find a different way of writing the area, we could use FOIL to find all terms and get x^2 - 4.
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