Question

The length is nine feet less than three times its width. if leonardo bought 210 square feet, how long (in feet) is his property?

Answer 1

To find the length of Leonardo's property, set up an equation using the given information and solve for the width and length.

Step-by-step explanation:

To find the length of Leonardo's property, we need to set up an equation based on the given information. Let's define the width of the property as 'x'. The length is then '3x - 9'.

Since area is equal to length times width, we can set up the equation: x * (3x - 9) = 210. Solving this equation will give us the width and length of the property.

Expanding the equation, we have 3x^2 - 9x = 210. Rearranging, 3x^2 - 9x - 210 = 0. We can solve this quadratic equation using factoring, completing the square, or using the quadratic formula.

Once we find the value of 'x', we can substitute it into '3x - 9' to find the length of the property.