Question

if the length is twice than the breath and the area is 666m than find the length and breath​

Answer 1

$\rightarrow$ Given :

• Length = 2 × breadth

• Area = 666m

$\rightarrow$ To Find :

• Length

• Breadth

$\huge \red{ \underline{ \underline{ \green{{ \rm \: solution : }}}}}$

• Let bradth be = x

$\therefore$ length = 2x

$\rightarrow \pink{ \boxed{ \boxed{ \purple{ \rm \: area = length \times breadth}}}}$

$\implies$ 666m = 2x × x

$\implies \rm \: \mathtt{ 666m = 2x {}^{2} }$

• On transposing the terms :

$\implies \mathtt{ \dfrac{666m}{2} = {x}^{2} }$

$\implies \rm \: \orange{\mathtt{333m = x {}^{2} }}$

$\implies \rm \: \mathtt{ \sqrt{333} = x {}^{} }$

$\large \therefore { \blue{ \boxed{ \red{ \rm \: x = 18.24m}}}}$

$\rightarrow \purple{ \rm \:breadth = x = \green{ \boxed{ \pink{18.24 \rm m}}}}$

$\purple{ \rm \: length = 2x = 2 \times 18.24 = \green{ \boxed{ \pink{36.48 \rm m}}}}$

Answer 2

$\huge\boxed{\underline{\sf{\red{ᴀ}\green{ɴ}\pink{s}\orange{ᴡ}\blue{ᴇ}\pink{ʀ}}}}$

$\underline{\sf{Length\:=\:36.48m}}$

$\underline{\sf{Breadth\:=\:18.24m}}$

$\bold{\boxed{\sf{\red{Given;}}}}$

$\sf{Length\:is\:twice\:it's\:breadth}$

$\sf{Area\:of\:it\:=\:666m}$

$\bold{\boxed{\sf{\red{To\:Find}}}}$

$\sf{Length\:and\:breadth}$

$\bold{\boxed{\sf{\red{Solution;}}}}$

$\sf{Let\:x\:be\:it's\:breadth}$

$\sf{Length\:=\:2x}$

$\longrightarrow{\boxed{\boxed{\sf{\purple{Area\:=\:Length\:×\:Breadth}}}}}$

$\rightarrow{\sf{666m\:=\:2x\:×\:x}}$

$\rightarrow{\sf{666m\:=\:2x^{2}}}$

$\rightarrow{\sf{\frac{666m}{2}\:=\:x^{2}}}$

$\rightarrow{\sf{333\:=\:x^{2}}}$

$\rightarrow{\sf{\sqrt{333}\:=\:x}}$

$\sf{Therefore;}$

$\longrightarrow{\boxed{\boxed{\sf{\pink{18.24m\:=\:Breadth}}}}}$

$\longrightarrow{\boxed{\boxed{\sf{\pink{36.47m\:=\:Length}}}}}$

$\bold{\sf{Thus\:Proved...}}$