SOLUTION: a rectangle has one side equal to (2x+4)cm and a perimeter of (6x+4)cm what is the area of rectangle in terms of x

Algebra ->  Customizable Word Problem Solvers  -> Age -> SOLUTION: a rectangle has one side equal to (2x+4)cm and a perimeter of (6x+4)cm what is the area of rectangle in terms of x      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 802309: a rectangle has one side equal to (2x+4)cm and a perimeter of (6x+4)cm what is the area of rectangle in terms of x
Answer by tommyt3rd(5050) About Me  (Show Source):
You can put this solution on YOUR website!
For convenience let's call the given side the length, so...
l=2x%2B4+
W are also given the perimeter...6x+4 and we for a rectangle, P=2%28l%2Bw%29+
therefore:
2%28l%2Bw%29=6x%2B4+
so we have enough information to solve for w:
2x%2B4%2Bw=3x%2B2
w=x-2
Now we have enough information to solve for area.
A=l%2Aw
so
A=%282x%2B4%29%28x-2%29=%0D%0A2x%5E2-8+cm%5E2