Question

Find the area of a square park with perimeter 460 m​

Answer 1

Answer:

Perimeter of square = 4*side

460 = 4*side

460/4 = side

115 m = side

Area of square = side * side

Area of square = 115*115

Area of square = 13225m^2

Your answer is 13225 m ^2

Hope ! answer is helpful for you ...

Answer 2

$\large\sf\underline{Given\::}$

• Perimeter = 460 m

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$\large\sf\underline{To\:find\::}$

• Area of the square

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$\large\sf\underline{Understanding\:the\:concept\::}$

Here in the question we are given the Perimeter of the square as 460 m. We are asked to find the area of the square. In order to find area we need the measure of one side of the square. So for this we will use the formula for perimeter of square and the given value . Doing this we will get the measure of one side of square and we can find the area easily. Let's begin!

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$\large\sf\underline{Solution\::}$

According to the question :

Perimeter of the square = 460 m

We know :

$\large{\underline{\boxed{\mathrm\pink{Perimeter\:of\:a\:square\:=\:4\:a}}}}$

where :

• a = length of one side of square

$\sf\implies\:4a\:=\:460\:m$

• Transposing 4 to the other side

$\sf\implies\:a\:=\cancel{\frac{460}{4}}$

$\large{\mathfrak\red{\implies\:a\:=\:115\:m}}$

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Now area of a square :

$\large{\underline{\boxed{\mathrm\pink{Area\:=\:a^{2}}}}}$

where :

• a = length of one side of square

Substituting the value of a in the formula :

$\sf\:Area\:=\:(115)^{2}$

$\large{\mathfrak\red{\implies\:Area\:=\:13225\:sq\:m}}$

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!! Hope it helps !!