Question

The perimeter of a rectangular garden,
whose length is 4 m more than it's width, is
40 m. Find the width of the rectangle. *
O 10
O 12
08
O 16

Answer 1

Answer:

$2(l + b) = 40 \\ 2(4 + b) = 40 \\ 4 + b = 20 \\ b = 20 - 4 \\ b = 16$

Answer 2

$\large\underline\bold{ANSWER \red{\huge{\checkmark}}}$

$\large\underline\bold{GIVEN,}$

$\dashrightarrow the\:perimeter\:of\:rectangular\:garden= 40m$

$\dashrightarrow length\:is\:4m\:more\:than\:that\:of\:its\:width\\ \therefore let\:x\:be\:width\: \\ \dashrightarrow length\:will\:be\:(x+4m)$

$\large\underline\bold{TO\:FIND}$

$\dashrightarrow Width\:of\:rectangle.$

✯FORMULA IN USE,

$\large{\boxed{\bf{ \star\:\: PERIMETER\:OF\: RECTANGLE= 2\times (l+b) \:\: \star}}}$

$\large\underline\bold{SOLUTION,}$

$\therefore solving\: using\:formula.we\:get, \\ \dashrightarrow 2\times (l+b)$

$\implies 2\times (x+(x+4))=40$

$\implies 2\times (2x+4)=40$

$\implies 4x+8=40$

$\implies 4x= 40-8$

$\implies 4x= 32$

$\implies x= \dfrac{32}{4}$

$\implies x= \cancel\dfrac{32}{4}$

$\implies x= 8$

$\large{\boxed{\bf{ \star\:\: width\:of\:rectangle\:is\:8m \checkmark\:\: \star}}}$

$\large\underline\bold{OPTION:-C,8m\:IS\:CORRECT\:OPTION \red{\checkmark}}$

______________