Answer:
A) 8w=80; 10
Step-by-step explanation:
Let w = width
L = 3w
Fencing is perimeter
P=2(l+w)
80 = 2(3w+w)
80 = 2(4w)
80 = 8w
Divide each side by 8
80/8 = 8w/8
10 = w
The equation would be '8w = 80; 10'
As per the question,
Assume the width of the rectangular fence to be w. So,
Length(l) = 3w
Total fencing he has = 80 meters.
As we know,
Fencing denotes the perimeter and the building is rectangular. Thus,
[tex]Perimeter = 2 (l + b)[/tex]
Since b here is denoted by w, the equation would be after substituting the above values;
[tex]80 = 2(3w + w)[/tex]
⇒ [tex]80 = 2(4w)[/tex]
⇒ [tex]80 = 8w[/tex]
∵ [tex]w = 80/8 = 10[/tex]
Thus,
The largest possible length = [tex]10[/tex] × [tex]3 = 30 feet[/tex]
Breadth(w) as we get = [tex]10 feet[/tex]
Thus, option A is the correct answer.
Learn more about 'length' here:
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