SOLUTION: Let the length and width of a rectangle be 4y and y-3 respectively. If a square inside the rectangle has a side of length y-7, find the remaining area.

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Let the length and width of a rectangle be 4y and y-3 respectively. If a square inside the rectangle has a side of length y-7, find the remaining area.      Log On


   

Question 317511: Let the length and width of a rectangle be 4y and y-3 respectively. If a square inside the rectangle has a side of length y-7, find the remaining area.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
The rectangle's area is,
A1=L%2AW=4y%28y-3%29=4y%5E2-12
The area of the square is,
A2=s%5E2=%28y-7%29%5E2=y%5E2-14y%2B49
The remaining area is,
A=A1-A2=4y%5E2-12-%28y%5E2-14y%2B49%29
highlight%28A=3y%5E2%2B14y-61%29