The width of a rectangle is 2 units less than the length. The area of the rectangle is 63 units. What is the length, in units, o
f the rectangle?
1 answer:
Answer: Length = 9 units
Step-by-step explanation:
Let L represent the length of the rectangle.
The width of a rectangle is 2 units less than the length. It means that the width of the rectangle is (L - 2) units.
The formula for determining the area of a rectangle is expressed as
Area = length × width
The area of the rectangle is 63 units. It means that
L(L - 2) = 63
L² - 2L = 63
L² - 2L - 63 = 0
L² + 7L - 9L - 63 = 0
L(L + 7) - 9(L + 7) = 0
L - 9 = 0 or L + 7 = 0
L = 9 or L = - 7
Since the length cannot be negative, then
L = 9 units
Width = 9 - 2 = 7 units
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Step-by-step explanation:
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Therefore, the system has no solution.