### Instruction: The length of a rectangular playground exceeds twice its width by 25 feet, and the perimeter of the playground is 650 feet. What is the area of the playground in square feet?### Response: Let's call the width of the playground x.
If the length of the playground is 25 feet more than twice its width, then the length is 2x+25.
The perimeter is 650 feet, so we have to solve the equation: 2(x+2x+25)=650.
That simplifies to 6x+50=650.
Subtracting 50 from both sides we get 6x=600.
So x=100.
That means the width is 100 feet.
And the length is 2*100+25=225 feet.