The length of the side of the square is [tex]\boxed{110.68{\text{ meter}}}.[/tex]
Further Explanation:
The formula of area of square can be expressed as follows,
[tex]\boxed{Area = \left( s \right) \times \left( s\right)}[/tex]
The formula of perimeter of the rectangle can be expressed as follows,
[tex]\boxed{{\text{Perimeter}} = 4 \times s}[/tex]
Here, s represents the side of square.
Given:
The cost of plugging in a square field is [tex]\$ 2450.[/tex]
The cost for plugging per 10 square meter is [tex]\$ 2.[/tex]
Explanation:
The cost for plugging per 10 square meter is [tex]\$ 2.[/tex]
The cost for plugging 1 square meter can be obtained as follows,
[tex]\begin{aligned}{\text{Cost}}&= \frac{2}{{10}}\\&= \$ 0.2\\\end{aligned}[/tex]
The total area that plugged can be obtained as follows,
[tex]\begin{aligned}{\text{Area}}&=\frac{{{\text{Cost of plugging}}}}{{{\text{cost of per square meters}}}}\\&= \frac{{2450}}{{0.2}}\\&= 12250\\\end{aligned}[/tex]
The length of the side of the square can be obtained as follows,
[tex]\begin{aligned}{\text{Area}}&= {\left( {\text{S}} \right)^2}\\12250&= {\left( {\text{S}} \right)^2}\\\sqrt {12250}&= {\text{S}}\\110.68 &= {\text{S}}\\\end{aligned}[/tex]
The length of the side of the square is [tex]\boxed{110.68{\text{ meter}}}.[/tex]
Learn more:
- Learn more about inverse of the functionhttps://brainly.com/question/1632445.
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Answer details:
Grade: Middle School
Subject: Mathematics
Chapter: Mensuration
Keywords: length, square, area, side of square, width, breadth, area, dimension, measure of sides, dimensions of rectangle, expression, plugging, square field, Rs 2450, 2 per 10 square meters, length of the side.
