A rectangular park has an area of 250 square feet. The length of the park is 7 feet more than twice the width, w,of the park.
Create an equation in terms of w to model this situation.
what is the correct answer
Let the width of the park be represented by w.
The length of the park is 7 feet more than twice the width, so the length can be represented as (2w + 7).
The area of a rectangle is given by the formula: Area = length * width.
Given that the area is 250 square feet, we can create the equation:
250 = (2w + 7) * w
Expanding the equation:
250 = 2w^2 + 7w
Rearranging the terms:
2w^2 + 7w - 250 = 0
So, the equation in terms of w to model this situation is:
2w^2 + 7w - 250 = 0