The actual perimeter of the park is
.
Further explanation:
Given:
The perimeter of the park is on a map
. 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}](https://tex.z-dn.net/?f=%5Cbegin%7Baligned%7D%7B%5Ctext%7BPerimeter%7D%7D%26%3Da%2Ba%2Bb%2Bb%5C%5C%26%3D2%5Cleft%28%7Ba%2Bb%7D%5Cright%29%5C%5C%5Cend%7Baligned%7D)
Here,
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](https://tex.z-dn.net/?f=%5Cdfrac%7B2%7D%7B%7B10%7D%7D%3D0.2)
Five hundredths can be written in the form of decimal as follows:
![\dfrac{5}{{100}}=0.05](https://tex.z-dn.net/?f=%5Cdfrac%7B5%7D%7B%7B100%7D%7D%3D0.05)
One thousandths can be written in the form of decimal as follows:
![\dfrac{1}{{1000}}=0.001](https://tex.z-dn.net/?f=%5Cdfrac%7B1%7D%7B%7B1000%7D%7D%3D0.001)
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}](https://tex.z-dn.net/?f=%5Cbegin%7Baligned%7D0.251%26%3D%5Cfrac%7B2%7D%7B%7B10%7D%7D%2B%5Cfrac%7B5%7D%7B%7B100%7D%7D%2B%5Cfrac%7B1%7D%7B%7B1000%7D%7D%5C%5C%26%3D0.2%2B0.05%2B0.001%5C%5C%26%3D0.251%5C%5C%5Cend%7Baligned%7D)
On the map the perimeter of the park is
.
Let
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}](https://tex.z-dn.net/?f=%5Cbegin%7Baligned%7D%7B%5Ctext%7BP%7D%7D%26%3D0.251%5Ctimes1000%5C%5C%26%3D251%7B%5Ctext%7B%20meters%7D%7D%5C%5C%5Cend%7Baligned%7D)
Thus, the actual perimeter of the park is
.
Learn more:
1. Learn more about problem on function brainly.com/question/1632445
2. Learn more about problem on triangle brainly.com/question/7437053
3. Learn more about problem on range and domain of functions brainly.com/question/3412497
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.