Need An Answer Asap, The Width Of A Rectangle Is 6 Units Less Than The Length. The Area Of The Rectangle Is 7 Units. What Is The Width, In Units, Of T
NEED AN ANSWER ASAP
The width of a rectangle is 6 units less than the length. The area of the rectangle is 7 units. What is the width, in units, of the rectangle?
Answer:
The width is 1 unit.
Step-by-step explanation:
Length: x
Width: x - 6
Area: 7 sq. units
Equation:
(length) (width) = area
(x) (x-6) = 7
x² - 6x - 7 = 0
Factor the equation:
(x - 7) (x + 1) = 0
Equate each factor to 0:
x - 7 = 0
x = 7
x + 1 = 0
x = - 1
Choose the positive value for dimensions.
Length: x = 7 units
Width: (7)-6 = 1 unit
The width is 1 unit.
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