SOLUTION: A rectangle has a length that is 5 feet more than its width. The area of this rectangle is 84 square feet. What is the width and length of this rectangle?
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Question 663506: A rectangle has a length that is 5 feet more than its width. The area of this rectangle is 84 square feet. What is the width and length of this rectangle? Answer by fxa101(1) (Show Source):
You can put this solution on YOUR website! let x= length
y = width = x - 5
A= Area of Rectangle
Formula: Area of Rectangle = length x width
84 = (x)(x - 5)
84 = x2 - 5x
Transpose 84 to the other side and get:
x2 -5x-84 = 0
Factor or by using quadratic formula, and get:
(x-7) = 0 (x-12) = 0: Both gives correct answer but we will use x-12:
Therefore;
x = 12
and y = x-5 = 7
Checking:
Area = length x width
= (12 feet)(7 feet)
= 84 square feet
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