Math, asked by karthika2009e, 22 days ago

The perimeter of a rectangle is 180 cm and breadth is 36 cm , Then its area is

Answers

Answered by Nikhilrathiclass7
1

Answer:

your answer guy

Step-by-step explanation:

2×(l+b)

2×(180+36)

2×216

432

Answered by Anonymous
40

Given :

  • Perimeter  \leadsto 180 cm
  • Breadth  \leadsto 36 cm

To find :

  • We have to find the Area and the Length of the Rectangle

Solution :

To find the Area of Rectangle first we have to find the Length of the Rectangle as the Breadth and Perimeter are already given So, after finding the Length we just have to multiply same length and breadth to get the Area So, let's solve!

\;\boxed{\sf{\purple{Area_{\:(rectangle)} = Length \times Breadth}}}

\;\boxed{\sf{\pink{Perimeter_{\:(rectangle)} = 2 \times Length + Breadth}}}

 \:  \:  \:  \:  \:  : \implies \sf 180cm  \leadsto2 \times (L  + 36 \: cm) \\  \\  \\  :  \implies  \sf\dfrac{180}{2}  \leadsto90 \: cm\:  \:  2 \times (L  + 36 \: cm) \\  \\  \\  :  \implies \sf 90 - 36  \\  \\  \\ :  \implies \: { \underline{ \boxed{ \pink{ \mathfrak{Length \leadsto 54 \: cm}}}}} \\  \\   \\   {\dag \: {\sf{ \underline{ Verification}}}} \\  \\  \\   :  \implies \sf 2 \times (54 \: cm + 36 \: cm) \\  \\  \\  :  \implies  \sf\: 2 \times 90cm \\  \\  \\  :  \implies  \: { \underline{ \boxed{ \pink{ \mathfrak{Perimeter \leadsto 180 \: cm}}}}}  \\  \\  \\   \therefore {\underline {\sf {Now \: we \: will \: find \: the \: Area \: of \: Rectangle}}} \\  \\  \\  :  \implies \sf 54 \: cm \times 36 \: cm \\  \\  \\  :   \implies{ \underline{ \boxed{ \pink{ \mathfrak{Area \leadsto 1944 \:  {cm}^{2} }}}}}

•°• Hence, verified! that the Area of Rectangle is \sf1944{cm}^{2}

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