Question

The area of the square is 9x^2+24xy+16y^2 find the side of the square

Answer 1

$\textbf{ Hello Mate! }$

Area of □ = side × side or $side^2$

Therefore,

$= 9 {x}^{2} + 24xy + 16 {y}^{2} \\ = {(3x)}^{2} + 2(3x)(4y) + {(4y)}^{2} \\ = {(3x + 4y)}^{2}$

Thus,

${side}^{2} = {(3x + 4y)}^{2} \\ side = \sqrt{ {(3x + 4y)}^{2} } \\ side = 3x + 4y$

$\boxed{ \textsf{ Hence,\:side\:is\:3x+4y}}$

Have great future ahead!

Answer 2

hope its useful...
thank you ...
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