Respuesta :
The answer to this question would be: 750ft
In this question, you are given the rectangle perimeter (2,000 ft) and the ratio of rectangle length:width (3:1). The equation of this question should be:
3*rectangle width = 1 *rectangle length
rectangle width = 1/3 rectangle length
rectangle perimeter = 2,000ft
Then using the rectangle formula, you will be able to find the length. It would be:
rectangle perimeter = 2* (length+width)
2,000ft /2 = 1/3 length + length
1 1/3 length= 1,000ft
length = 1,000ft /4 *3= 750ft
In this question, you are given the rectangle perimeter (2,000 ft) and the ratio of rectangle length:width (3:1). The equation of this question should be:
3*rectangle width = 1 *rectangle length
rectangle width = 1/3 rectangle length
rectangle perimeter = 2,000ft
Then using the rectangle formula, you will be able to find the length. It would be:
rectangle perimeter = 2* (length+width)
2,000ft /2 = 1/3 length + length
1 1/3 length= 1,000ft
length = 1,000ft /4 *3= 750ft
Answer:
The length of rectangular field is [tex]750\;\rm{ft}[/tex].
Step-by-step explanation:
Given: A [tex]2000[/tex] [tex]\rm{ft}[/tex] long fence will be used to enclose a rectangular field that is three times as long as it is wide.
Let the wide of rectangular field be [tex]x\; \rm{ft}[/tex].
and length of rectangular field is [tex]3x\; \rm{ft}[/tex].
Using the formula of perimeter of rectangle[tex]=2(l+b)[/tex]
Now, Length of rectangular field is calculated as [tex]2(x+3x)=2000[/tex]
[tex]4x=\frac{2000}{2} \\[/tex]
[tex]x=\frac{1000}{4}\\x=250\; \rm{ft}[/tex]
Therefore, the length of rectangular field is [tex]3x=3\times250=750\;\rm{ft}[/tex].
Learn more about Perimeter of rectangle here:
https://brainly.com/question/13787005?referrer=searchResults
