Question

Find the area of a square park of side (9x+ 2y) metres using suitable identities

Answer 1

Answer:

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Answer 2

$Given \: side \: of \:a \: square \: park (a) \\= (9x + 2y ) \: m$

$\boxed {\pink { Area \: of \: a \: square (A) = (side)^{2} }}$

$Area = ( 9x + 2y )^{2}$

$= (9x)^{2} + (2y)^{2} + 2 \times 9x \times 2y$

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By Algebraic Identity :

$\orange { (a+b)^{2} = a^{2} + 2ab + b^{2} }$

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$= (81x^{2} + 4y^{2} + 36xy )\: m^{2}$

Therefore.,

$\red{ Area \: of \: the \:square } \\\green {= (81x^{2} + 4y^{2} + 36xy )\: m^{2} }$

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