The area of a square plot is \(100 \mathrm{~m}^{2} .\) Then the value of its perimeter is _______ \(\mathrm{m}\).

Short Answer

Expert verified
Answer: The perimeter of the square plot is 40 meters.

Step by step solution

01

Find the length of a side of the square plot

The area of a square is given by the formula \(A = s^2\), where \(A\) is the area and \(s\) is the length of a side. In this exercise, the area is given as \(100 \mathrm{~m}^{2}\). To find the length of a side, we need to solve for \(s\): $$ s^2 = 100 \mathrm{~m}^{2} $$ Since the square plot has equal sides, we take the square root of both sides: $$ s = \sqrt{100 \mathrm{~m}^{2}} = 10 \mathrm{~m} $$ The length of a side of the square plot is \(10\) meters.
02

Find the perimeter of the square plot

The perimeter of a square is given by the formula \(P = 4s\). Using the length of a side found in the previous step, we can calculate the perimeter: $$ P = 4(10 \mathrm{~m}) = 40 \mathrm{~m} $$ The perimeter of the square plot is \(40\) meters.

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