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Naya [18.7K]
3 years ago
5

Estimate the perimeter of the figure to the nearest whole number.

Mathematics
1 answer:
ser-zykov [4K]3 years ago
4 0

Answer:

See Explanation Below

Step-by-step explanation:

The question is incomplete (because the figure to calculate the perimeter is missing).

However from the comment attached to your question, I understand that the figure looks like a plus sign.

The perimeter of a plane shape is calculated by adding the length of each side of the shape.

Take for instance;

A square of length 5cm.

We know that a square has 4 equal sides; meaning that the length of the other sides are also 5cm

So, the perimeter of the square will be calculated as 5cm + 5cm + 5cm + 5cm = 20cm

Similarly, the perimeter of a triangle whose sides are 4ft, 3ft and 5ft will be calculated by adding up the length of the three sides.

Perimeter of the triangle = 4ft + 3ft + 5ft

Perimeter = 12ft.

Having explained how the perimeter of a plane shape is calculated; take for example, the attachment below.

(The sides are measured in centimetres)

The plus sign has 12 sides; Its perimeter is calculated by adding up the length of the 12 sides.

Perimeter = 3 + 7 + 7 + 5 + 5 + 5 + 5 + 2 + 2 + 4 + 4 + 3

Perimeter = 52cm

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\bf \stackrel{cost}{y}=\stackrel{fixed~charge}{F}+\stackrel{25mile~intervals}{m}\quad \stackrel{25mile~charge}{x}\implies y=F+mx\\\\
-------------------------------\\\\
\begin{cases}
200=F+2x\implies 200-2x=\boxed{F}\\
245=F+8x\\
----------\\
245=\boxed{200-2x}+8x
\end{cases}
\\\\\\
45=6x\implies \cfrac{45}{6}=x\implies \cfrac{15}{2}=x\impliedby 
\begin{array}{llll}
\textit{so the 25mile charge is}\\
\textit{7 bucks and 50cents}
\end{array}
\\\\\\


\bf 200=F+2\left( \frac{15}{2} \right)\implies 200=F+15\implies 185=F
\\\\\\
\textit{and the \underline{fixed charge} is 185 bucks then, let's check for 450}
\\\\\\
\boxed{y=185+\frac{15}{2}x}\qquad 
\begin{cases}
450~miles\\\\
\cfrac{450}{25}\implies 18~\textit{\underline{25mile intervals}}\\\\
x=18
\end{cases}
\\\\\\
y=185+\cfrac{15}{2}\cdot 18\implies y=185+135\implies y=320
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