Math, asked by rohinidhataram, 11 months ago

find the perimeter of the square whose are 400 sq.m​

Answers

Answered by Truehelper
1

Step-by-step explanation:

Therefore area of a square = (side)²

and area in our case = 400m²

Therefore,

400=(side)²

Root of 400 = 20m

Therefore perimeter = 4×side

Therefore perimeter = 4×20=80m

This is your required answer..

Hope it helps!!

pls mark brainliest

Answered by TRISHNADEVI
2

 \huge{ \underline{ \overline{ \mid{ \mathfrak{ \purple{ \:   \: SOLUTION \:  \: } \mid}}}}}

 \mathfrak{ \: Suppose,} \\  \\ \:  \:  \:  \:  \:   \text{The side of the square = a} \\  \\  \underline{ \mathfrak{ \:  \: Given, \:  \: }} \\  \\    \text{Area of the square = 400 sq. m} \\  \\  \\  \underline{ \mathfrak{To \:  \:  find : \mapsto}} \\  \\  \text{  Perimeter of the square = ? }

 \underline{ \mathfrak{ \:  \: We  \:  \: know  \:  \: that, \:  \: }} \\  \\   \boxed{\mathtt{Area \:  \:  of  \:  \: a \:  \:  square =(side) {}^{2}  } }

 \underline{ \bold{ \:  \: A.T.Q., \:  \: }} \\  \\   \:  \:  \:  \:  \:  \: \tt{400 = a {}^{2} } \\  \\  \tt{\Longrightarrow \: a {}^{2} = 400 } \\  \\  \tt{\Longrightarrow \: a =   \sqrt{400} } \\  \\  \tt{\Longrightarrow \: a =  \pm \: 20}

 \text{As the side of  a square can't be negative,} \\  \\  \therefore \:  \:  \text{Side of the square, a = 20 m}

 \mathfrak{ \: Now, \: } \\  \\  \underline{ \mathfrak{ \:  \: We  \:  \: know \:  \: that, \:  \: }} \\  \\  \boxed{ \tt{Perimeter \:  \:  of  \:  \: a  \:  \: square = 4 \times side \: }}

 \tt{ \therefore \:  \: Perimeter  \:  \: of  \:  \: the  \:  \: square = 4a} \\  \\  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: \:   \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: \tt{ =( 4 \times 20) \: m} \\  \\    \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: \:   \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: \:  \:  \:  \:  \:  \:  \:  \:  \:  \:   \: \tt{ = 80 \:  \: m}

 \therefore \: \: \text{ Perimeter  of  the  square = 80 m }

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