Question

riya took a walk along a rectangular park and a square park. She found that the perimeter of both the parks is same .If the dimensions of the rectangular park is 14m by 4 m then find the side of the square park. Also find the area of both the parks
Perimeter= ?
Area of the rectangle Area of the square?

Answer 1

36 is the perimeter of rectangular park

36 is also the perimeter of square park

area of rectangular park - 76

area of square park - 1296

Answer 2

$\underline{\blue{ Dimensions \:of \:a \: rectangular \:park :}}$

$Length (l) = 14 \:m ,\: Breadth (b) = 4\:m$

$Let \: side \: of \: a \: square \: park = a \:m$

/* According to the problem given */

$\pink {Perimeter_{ (Square )} } = \blue { perimeter _{(rectangle)}}$

$\implies 4a = 2( l + b )$

$\implies 4a = 2( 14 + 4 )$

$\implies a = \frac{2\times 18}{4}$

$\implies a = 9 \: m$

$\pink {Perimeter_{ (Square )} } = 4\times 9\:m \\= 36 \:m$

$Area \:of \: the \: rectangular \:park = l\times b \\= 14 \: m \times 4 \:m \\= 56 \:m^{2}$

$Area \:of \:the \: Square = a^{2} \\= (9 \:m )^{2} \\= 81 \:m^{2}$

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