SOLUTION: The following questions pertain to a rectangle that has a perimeter of 20cm. a) Find the value of x. Width: {{{2x-3}}} Height: {{{2x+3}}} b) Give an expression for the area

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Question 284446: The following questions pertain to a rectangle that has a perimeter of 20cm.
a) Find the value of x.
Width: 2x-3
Height: 2x%2B3
b) Give an expression for the area.
Thank you for any help you can offer.

Answer by nyc_function(2741) About Me  (Show Source):
You can put this solution on YOUR website!

The perimeter = 2 times width + 2 times length
20 = 2(2x - 3) + 2(2x + 3)
20 = 4x - 6 + 4x + 6
20 = 8x
20/8 = x
5/2 = x
===============================================
The area = width times length
Then A = (2x - 3)(2x + 3)
Area must be written, in this case, in terms of x.
A = 4x^2 + 6x - 6x - 9
A = 4x^2 - 9
Done!