Wednesday, October 23, 2013

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

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

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