We appreciate your visit to The perimeter of a rectangular fence is to be at least 120 feet and no more than 168 feet If the length of the fence. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
a rectangle has a perimeter of length + length + width + width.
L = length of the fence.
W = width of the fence.
so the perimeter will be L+L+W+W or 2L+2W or 2(L+W).
now, we know that 120 ⩽ 2(L+W).
we also know that 168 ⩾ 2(L+W)
and we also know that whatever the length is, is twice the width, or L = 2W.
[tex]\bf 120\le 2(L+W)\implies 120\le 2(2W+W)\implies 120\le 2(3W)
\\\\\\
120\le 6W\implies \cfrac{120}{6}\le W\implies \boxed{20\le W}\\\\
-------------------------------\\\\
168\ge 2(L+W)\implies 168\ge 2(2W+W)\implies 168\ge 2(3W)
\\\\\\
168\ge 6W\implies \cfrac{168}{6}\ge W\implies \boxed{28\ge W}\\\\
-------------------------------\\\\
20\le W \le 28[/tex]
L = length of the fence.
W = width of the fence.
so the perimeter will be L+L+W+W or 2L+2W or 2(L+W).
now, we know that 120 ⩽ 2(L+W).
we also know that 168 ⩾ 2(L+W)
and we also know that whatever the length is, is twice the width, or L = 2W.
[tex]\bf 120\le 2(L+W)\implies 120\le 2(2W+W)\implies 120\le 2(3W)
\\\\\\
120\le 6W\implies \cfrac{120}{6}\le W\implies \boxed{20\le W}\\\\
-------------------------------\\\\
168\ge 2(L+W)\implies 168\ge 2(2W+W)\implies 168\ge 2(3W)
\\\\\\
168\ge 6W\implies \cfrac{168}{6}\ge W\implies \boxed{28\ge W}\\\\
-------------------------------\\\\
20\le W \le 28[/tex]
Thanks for taking the time to read The perimeter of a rectangular fence is to be at least 120 feet and no more than 168 feet If the length of the fence. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!
- Why do Businesses Exist Why does Starbucks Exist What Service does Starbucks Provide Really what is their product.
- The pattern of numbers below is an arithmetic sequence tex 14 24 34 44 54 ldots tex Which statement describes the recursive function used to..
- Morgan felt the need to streamline Edison Electric What changes did Morgan make.
Rewritten by : Barada
The required range of for the width is (20, 28).
Given that,
The perimeter of a rectangular fence is to be at least 120 feet and no more than 168 feet. If the length of the fence is to be twice the width, what is the range of values for the width of the fence is to be determined.
What is a rectangle?
The rectangle is a four-sided polygon whose opposites sides are equal and has an angle of 90° between its sides.
Here,
Let the width of the rectangular fence be w,
according to the question,
length = 2w
The perimeter of the rectangle should be at least 120 feet and not more than 168 feet,
Inequality for the perimeter,
120 ≤ perimeter of the rectangle ≤ 168
120 ≤ 2 * length + 2 * width ≤ 168
120 ≤ 2 * 2w + 2 * w ≤ 168
120 ≤ 6w ≤ 168
dividing by 6
20 ≤ w ≤ 28
Thus, the required range of for the width is (20, 28).
Learn more about rectangles here:
https://brainly.com/question/16021628
#SPJ2
