Question

A rectangular vegetable garden will have a width that is 2 feet less than the length area of 48 square feet. If represents the length, then the length can be found by s equation:

x(x - 2) = 48
What is the length, x, of the garden?
The length is
feet.

Answer 1

Answer: The equation for the area of the garden is x(x - 2) = 48. To find the length, we need to solve for x:

x^2 - 2x - 48 = 0

Using the quadratic formula:

x = (-(-2) ± √((-2)^2 - 4(1)(-48)))/2(1)

x = (2 ± √(4 + 192))/2

x = (2 ± √196)/2

x = (2 ± 14)/2

x = 8 or x = -6

Since the length cannot be negative, the length of the garden is 8 feet.

Explanation: