The actual perimeter of the park is \(\boxed{\bf251{\text{ meters}}}\).
Further explanation:
Given:
The perimeter of the park is on a map \(0.251{\text{ meters}}\). 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,
\(\begin{aligned}{\text{Perimeter}}&=a+a+b+b\\&=2\left({a+b}\right)\\\end{aligned}\)
Here, \(x,y{\text{ and }}z\) 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:
\(\dfrac{2}{{10}}=0.2\)
Five hundredths can be written in the form of decimal as follows:
\(\dfrac{5}{{100}}=0.05\)
One thousandths can be written in the form of decimal as follows:
\(\dfrac{1}{{1000}}=0.001\)
Therefore, the number 0.251 can be written as,
\(\begin{aligned}0.251&=\frac{2}{{10}}+\frac{5}{{100}}+\frac{1}{{1000}}\\&=0.2+0.05+0.001\\&=0.251\\\end{aligned}\)
On the map the perimeter of the park is \(0.251{\text{ meters}}\).
Let \({\text{P}}\) be the actual perimeter of the park.
The actual perimeter of the park can be calculated as follows,
\(\begin{aligned}{\text{P}}&=0.251\times1000\\&=251{\text{ meters}}\\\end{aligned}\)
Thus, the actual perimeter of the park is \(\boxed{\bf251{\text{ meters}}}\).
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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.
