SOLUTION: A rectangle has length x+3 and width x-5. Which equation below describes the area A of the rectangle in terms of x?
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Question 447697: A rectangle has length x+3 and width x-5. Which equation below describes the area A of the rectangle in terms of x?
Answer by Leaf W.(135) (Show Source): You can put this solution on YOUR website!
Area = length * width
length: x + 3
width: x - 5
A = (x + 3)(x - 5)
Simplify (x + 3)(x - 5) using the FOIL method:
1. First numbers: multiply the first number of each binomial together--x*x =
2. Outer numbers: multiply the outer number of each binomial (out of the entire expression, the number farthest to the left (x) and the number farthest to the right (-5))--x*-5 = -5x
3. Inner numbers: multiply the inner number of each binomial--3*x = 3x
4. Last numbers: multiply the last number of each binomial--3*-5 = -15
==> Now, add all of the results together and combine like terms: =
Therefore, A =
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