Question

If the area of a square field is 100m² find its side​

Answer 1

Given: Area of a square field is 100m².

Need to find: The side of the square field?

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❍ Let's consider the side of the square field as x.

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As we know that,

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$\begin{gathered}\star\:{\underline{\boxed{\frak{Area_{\:(square)} = x^2}}}}\\\\\\ \bf{\dag}\:{\underline{\frak{Putting\:given\:values\:in\:formula,}}}\\\\\\ :\implies\sf 100m^2 = x^2 \\\\\\ :\implies\sf x^2 = 100^2 \\\\\\ :\implies\sf x^2 = \sqrt{100 {m}^{2} } \\\\\\ :\implies\sf x = 10\\\\\\ :\implies{\underline{\boxed{\frak{\purple{x = 10 {m} }}}}}\:\bigstar\\\\\end{gathered}$

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Therefore,

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Side of the square field, x = 10m.

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$\therefore\:{\underline{\sf{Hence,\:Side \: of \: the \: square \: field \: is \: 10m, \sf{respectively}.}}}$

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$\boxed{\begin {array}{cc}\\ \dag\quad \Large\underline{\bf Formulas\:of\:Areas:-}\\ \\ \star\sf Square=(side)^2\\ \\ \star\sf Rectangle=Length\times Breadth \\\\ \star\sf Triangle=\dfrac{1}{2}\times Breadth\times Height \\\\ \star \sf Scalene\triangle=\sqrt {s (s-a)(s-b)(s-c)}\\ \\ \star \sf Rhombus =\dfrac {1}{2}\times d_1\times d_2 \\\\ \star\sf Rhombus =\:\dfrac {1}{2}p\sqrt {4a^2-p^2}\\ \\ \star\sf Parallelogram =Breadth\times Height\\\\ \star\sf Trapezium =\dfrac {1}{2}(a+b)\times Height \\ \\ \star\sf Equilateral\:Triangle=\dfrac {\sqrt{3}}{4}(side)^2\end {array}}$

Answer 2

Answer :

• 10 m

Given:

• Area of the square field = 100m²

To calculate:

• Side of the square field.

Calculation:

We know that,

⇒ Area of the square = (Side)²

According to the question,

⇒ 100 = (Side)²

⇒ √100 = Side

⇒ 10 = Side

⇒ 10 m = Side

Therefore, side of the square field is 10m.

Verification:

⇒ Area of the square = (Side)²

LHS:

⇒ 100m²

RHS:

⇒ (10m)²

⇒ 100m²

LHS = RHS,

Hence, verified!!

Additional Information:

• A square is a quadrilateral having 4 sides, 4 angles & 4 vertices.

• A square is also a parallelogram as its opposite sides are parallel to each other.

• The diagonals of a square bisect each other.

• All sides of a square are equal.

• Measure of each angles of a square is 90°.

• Sum of all the interior angles of a square is 360°.

• Perimeter of the square = 4 × Side

• Area of the square = (Side)²