SOLUTION: The figure below is a rectangle.Has an area of 27 square feet. Find the length and width of the figure. The length has the equation(x-3) and the width has the equation(x+3)=27 use

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons -> SOLUTION: The figure below is a rectangle.Has an area of 27 square feet. Find the length and width of the figure. The length has the equation(x-3) and the width has the equation(x+3)=27 use       Log On


   

Question 421716: The figure below is a rectangle.Has an area of 27 square feet. Find the length and width of the figure. The length has the equation(x-3) and the width has the equation(x+3)=27 use the area formula. Area=Length x Width.
Answer by Adrish(44) About Me  (Show Source):
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Solutions:
Given: Area= 27 square feet
Length=x-3
width=x+3
Area= Length x width
27=(x-3)(x+3) we know (a-b)(a+b)=a^2-b^2
27= x^2 -9
x^2=36
x= square root of 36
x=6
Therefore length=x-3=6-3=3
Width=x+3=6+3=9
So, length=3feet
width=9 feet