The actual perimeter of the park is [tex]\boxed{\bf251{\text{ meters}}}[/tex].
Further explanation:
Given:
The perimeter of the park is on a map [tex]0.251{\text{ meters}}[/tex]. The measured perimeter of the park is 1000 times as large.
Calculation:
The distance of the closed figure is called as the perimeter.
The perimeter of the attached Figure 1 can be calculated as,
[tex]\begin{aligned}{\text{Perimeter}}&=a+a+b+b\\&=2\left({a+b}\right)\\\end{aligned}[/tex]
Here, [tex]x,y{\text{ and }}z[/tex] is the length of the shape.
From place value chart, 10 tens is equal to 1 hundreds.
Tenths are one place after the decimal and hundredths are two places after the decimal.
Two tenths can be written in the form of decimal as follows:
[tex]\dfrac{2}{{10}}=0.2[/tex]
Five hundredths can be written in the form of decimal as follows:
[tex]\dfrac{5}{{100}}=0.05[/tex]
One thousandths can be written in the form of decimal as follows:
[tex]\dfrac{1}{{1000}}=0.001[/tex]
Therefore, the number 0.251 can be written as,
[tex]\begin{aligned}0.251&=\frac{2}{{10}}+\frac{5}{{100}}+\frac{1}{{1000}}\\&=0.2+0.05+0.001\\&=0.251\\\end{aligned}[/tex]
On the map the perimeter of the park is [tex]0.251{\text{ meters}}[/tex].
Let [tex]{\text{P}}[/tex] be the actual perimeter of the park.
The actual perimeter of the park can be calculated as follows,
[tex]\begin{aligned}{\text{P}}&=0.251\times1000\\&=251{\text{ meters}}\\\end{aligned}[/tex]
Thus, the actual perimeter of the park is [tex]\boxed{\bf251{\text{ meters}}}[/tex].
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Answer details:
Grade: Middle school
Subject: Mathematics
Chapter: Numbers
Keywords: Perimeter, park, map, , measured, 1000 times large, distance, closed figure, length, shape, place value chart, hundreds, tenths.
