A rectangle of length and breadth equal to $19 m$ and $17 m$ respectively has to be converted into a square of equal area. What will be the side of the square? (Give answer till two decimal places).

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Solution

Area of the given rectangle $= 19 \times 17 m^{2} = 323 m^{2}$ ....(1 mark)

Since, area of square $=$ area of rectangle, therefore,

Area of square $= 323 m^{2}$ ...(0.5 marks)

If side of square is $a$ , area is $a^{2}$ ...(0.5 marks)

$a^{2} = 323 m^{2}$ ...(0.5 marks)

$a = 17.97 m$ ...(0.5 marks)

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A rectangle of length and breadth equal to 19m and 17m respectively has to be converted into a square of equal area. What will be the side of the square? (Give answer till two decimal places).

Area of the given rectangle =19×17m2=323m2....(1 mark) Since, area of square = area of rectangle, therefore, Area of square =323 m2...(0.5 marks) If side of square is a, area is a2...(0.5 marks) a2=323 m2...(0.5 marks) a=17.97 m...(0.5 marks)

A rectangle of length and breadth equal to $19 m$ and $17 m$ respectively has to be converted into a square of equal area. What will be the side of the square? (Give answer till two decimal places).