Respuesta :
Answer:
width of the fence = 5 feet
Length of the fence =10 feet
Step-by-step explanation:
Ben is planning to fence his rectangular garden. The area of the garden is 50 square feet, and the length of the garden is twice the width.
LEt x be the width of the fence
the length of the fence is twice the width.
Length of the garden = 2 * width = 2x
ARea of the garden = length * width
Plug in 2x for length and x for width
[tex]Area = 2x * x= 2x^2[/tex]
Area is 50
[tex]50= 2x^2[/tex]
Divide by 2 on both sides
[tex]25= x^2[/tex]
Take square root on both sides
x= 5
So width of the fence = 5 feet
Length of the fence = 2x= 2*5= 10 feet
