Math, asked by hnsingh21275, 4 months ago

length and breath of rectangular field is 405 m and 80 m.find the length of each side of square whose area is equal to each other.​

Answers

Answered by Anonymous
1

 \\ \large\underline{ \underline{ \sf{ \red{given:} }}}  \\  \\

  • Length of rectangular field = 405m

  • Breadth of rectangular field = 80m

  • Area of rectangle = Area of square

 \\  \\ \large\underline{ \underline{ \sf{ \red{to \: find:} }}}  \\  \\

  • Side of Square.

 \\  \\ \large\underline{ \underline{ \sf{ \red{solution:} }}}  \\  \\

 \\   \star \boxed{ \bf \:area \: of \: rectangle  =l \times b}

Here ,

  • Length = 405m

  • Breadth = 80m

➛ Area = 405 × 80

 \\ \therefore \:  \sf \: area \: of \: rectangular \: field \: is \: 32400 {m}^{2}. \\

Since , area of rectangle = area of square ,

Area of square = 32400m².

 \\  \star \boxed{ \bf \:area \: of \: square =  {side}^{2}  }

➛ 32400 = Side ²

➛ Side = √32400

Side = 180m

Hence , side of the square having same area as that of rectangular field is 180m.

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Note :-

  • Dont forget to use units for area ( m² ) and length ( m ) according to this question.

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