Question

A rectangular vegetable garden will have a width that is 4 feet less than the length, and an area of 140 square feet. If x represents the length, then the length can be found by solving the equation:

xx - 4) = 140
What is the length, x, of the garden?
The length is
feet.
The solution is

Answer 1

To find the length of the rectangular vegetable garden, we can solve the equation:

x(x - 4) = 140

Expanding the equation, we get:

x^2 - 4x = 140

Rearranging the equation, we have:

x^2 - 4x - 140 = 0

To find the solution, we can factor or use the quadratic formula. Factoring this equation, we get:

(x - 14)(x + 10) = 0

Therefore, the possible values for x are 14 and -10. Since the length cannot be negative, the length of the garden is 14 feet.

Explanation: