Lila is planning to build a rectangular garden in her backyard. She wants the length to be twice the width plus 5 meters. If the area of her garden is 250 square meters, then what is the width?(1 point)
Let's denote the width of the garden as W meters.
According to the given information, the length of the garden is twice the width plus 5 meters. Therefore, the length of the garden would be 2W + 5 meters.
The area of the rectangular garden is equal to its length multiplied by its width.
So, we can set up the following equation:
250 = (2W + 5) * W
Expanding the equation:
250 = 2W^2 + 5W
Rearranging the equation to form a quadratic equation:
2W^2 + 5W - 250 = 0
Now, we need to solve this quadratic equation to find the value of W. We can do this by factoring or using the quadratic formula.
After solving the quadratic equation, we get two possible values for W: W = 10 and W = -12.5. Since the width of the garden cannot be a negative value, Lila can choose W = 10 meters as the width of her rectangular garden.