SOLUTION: The perimeter of a rectangle is 36cm. Its area is 72cm^2. Find the dimensions of the rectangle. Thank you for your time!

Algebra ->  Expressions-with-variables -> SOLUTION: The perimeter of a rectangle is 36cm. Its area is 72cm^2. Find the dimensions of the rectangle. Thank you for your time!      Log On


   



Question 65169This question is from textbook
: The perimeter of a rectangle is 36cm. Its area is 72cm^2. Find the dimensions of the rectangle.
Thank you for your time!
This question is from textbook

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
The perimeter of a rectangle is 36cm. Its area is 72cm^2. Find the dimensions of the rectangle.
-----------
Perimeter=2(length+width)=36cm
length+width = 18cm
Let length = x
Then width = 18-x
---------
Area = length*width
Area = x(18-x)=72cm^2
18x-x^2=72
x^2-18x+72=0
(x-12)(x-6)=0
x=12 or x=6
Length = 12 cm then width=6cm
or
Length = 6 mn then length = 12 cm
Cheers,
Stan H.