Algebra
posted by Emma .
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 following expressions represents the area of the rectangle, in square units?
A. x^2+2x+4
B. x^22x+8
C. x^24
D. x^2+4

x = a number
L = x  2
W = L + 4 = x  2 + 4 = x + 2
A = L * W =
( x  2 ) * ( x + 2 ) =
x ^ 2  2 ^ 2 =
x ^ 2  4
Answer C
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Remark:
( a  b ) ( a + b ) = a ^ 2  b ^ 2
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