Answer :
Answer:
40
Step-by-step explanation:
the width is 2x and the length is x.
2x+2x+x+x=120
6x=120
x=[tex]\frac{120#\\}{6}[/tex]
x=20
2*20= width
width is 40 feet.
Final answer:
To find the width of the garden, we can set up an equation based on the given information and use algebra to solve for the width.
Explanation:
To solve this problem, let's represent the width of the garden as 'x'. According to the problem, the length of the garden is twice its width, so the length would be '2x'.
The formula for the perimeter of a rectangle is P = 2l + 2w, where P is the perimeter, l is the length, and w is the width.
We are given that the total fence length is 120 feet. Plugging in the values, we get 120 = 2(2x) + 2x.
Simplifying the equation, we have 120 = 4x + 2x, which further simplifies to 120 = 6x.
Dividing both sides of the equation by 6, we find that x = 20.
Therefore, the width of the garden is 20 feet.
