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Which figure encloses more area; a …

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Which figure encloses more area; a square of side 2cm;a rectangle of sides 4cm and 3cm; an equilateral triangle of side 4cm?
  • 1 answers

Yogita Ingle 5 years, 8 months ago

Area enclosed by the square = 2^2 = 4cm^2

Area enclosed by the rectangle = 2*3 ={tex} 6cm^2{/tex}

Area enclosed by the equilateral triangle = {tex}√3/4 a^2{/tex} where a is the length of the side

=> area = √3/4 x 4 x 4

= 4√3

= approximately 6.93 {tex}cm^2{/tex}

Since 6.93 > 6 > 4 ,

Hence, the equilateral triangle encloses the most area

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