Question 972887: My daughter and I are arguing over this problem. So a second opinion would be greatly appreciated.
A rectangle has a length that is 4 feet greater than its width. If each side of the rectangle is increased by 3 feet, write an equation to represent the area of the new rectangle. My daughter's answer was
4x^2+15x+9.
Please show steps. I incorrectly submitted wrong numbers before, so having difficulty explaining.
Thanks in advance and any feedback is appreciated.
Found 2 solutions by macston, MathTherapy:
Answer by macston(5194)   (Show Source):
Answer by MathTherapy(10556)  (Show Source):
You can put this solution on YOUR website!
My daughter and I are arguing over this problem. So a second opinion would be greatly appreciated.
A rectangle has a length that is 4 feet greater than its width. If each side of the rectangle is increased by 3 feet, write an equation to represent the area of the new rectangle. My daughter's answer was
4x^2+15x+9.
Please show steps. I incorrectly submitted wrong numbers before, so having difficulty explaining.
Thanks in advance and any feedback is appreciated.
Let rectangle's width be W
Then its length = W + 4
An increase of 3 feet makes the new width: W + 3
An increase of 3 feet makes the new length: W + 4 + 3, or W + 7
New area = new width, times new length, OR (W + 3)(W + 7)
This expands, by distribution, to: Area = 
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