Question

Q. The perimeter of a rectangle is 240 cm if the breadth of the rectangle is 30 cm find its length also find the area of rectangle​

Answer 1

${\huge{\green{\underline{\bf{AnsWer :}}}}}$

Perimeter of the rectangle = 240 cm

Breadth = 30cm

Length = ??

We know that,

Perimeter of a rectangle = 2(l + b)

=> 240 = 2(l + 30)

=> 240/2 = l + 30

=> 120 = l + 30

=> l = 120-30

=> l = 90cm.

Hence, we got length as 90cm

Area of the rectangle = l*b

= 90*30

= 2700cm² ans.

Answer 2

$\Huge \bf \mid{\overline{\underline{\fbox{Answer}}} \mid}$

$\large \underline \red{\bf{Given:}}$

$\sf{ \mapsto{Perimeter \: of \: rectangle \: is \: 240cm.}}$

$\sf{ \mapsto{Breadth \: of \: rectangle \: is \: 30cm.}}$

$\large \underline \red{\bf{To \: find:}}$

$\sf{ \leadsto{Length \: of \: rectangle.}}$

$\sf{ \leadsto{ Area \: of \: rectangle.}}$

$\large \underline \red{\bf{Formula \: required:}}$

${ \longmapsto {\orange{ \boxed{ \sf{Perimeter \: of \: rectangle =2(Length \: of \: rectangle + Breadth \: of \: rectangle)}}}}}$

${ \longmapsto \orange{\boxed {{\sf{Area \: of \: rectangle= {Length \: of \: rectangle} \times{Breadth \: of \: rectangle} }}}}}$

$\large \underline \red{\bf{According \: to \: Question:}}$

${ \implies {{{ \sf{Perimeter \: of \: rectangle =2(Length \: of \: rectangle + Breadth \: of \: rectangle)}}}}}$

${ \implies {{{ \sf{240cm=2(Length \: of \: rectangle + 30cm)}}}}}$

${ \implies {{{ \sf {\cancel\frac{240}{2} = Length \: of \: rectangle + 30cm}}}}}$

${ \implies {{{ \sf {120cm = Length \: of \: rectangle + 30cm}}}}}$

${ \implies {{{ \sf { Length \: of \: rectangle = 120cm - 30cm}}}}}$

${ \implies {{{ \sf { Length \: of \: rectangle = 90cm}}}}}$

$\star \fbox {\blue{{{\sf{Length \: of \: rectangle \: is \: 90cm.}}}}} \star$

${ \implies {{{\sf{Area \: of \: rectangle= {Length \: of \: rectangle} \times{Breadth \: of \: rectangle} }}}}}$

${ \implies {{{\sf{Area \: of \: rectangle= {90cm \times 30cm} }}}}}$

${ \implies {{{\sf{Area \: of \: rectangle= { 2700{cm}^{2} } }}}}}$

$\star \boxed {\blue{{\sf{Area \: of \: rectangle \: is \: 2700 \: {cm}^{2 .}}}}} \star$

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