Math, asked by riddhimahota, 4 months ago

The perimeter of a rectangular plot of land is 240 m and its length is 63m.Find the breadth and area of the plot.​

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Answered by pihu4976
2

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Answered by Anonymous
36

Given :

  • Perimeter of rectangular plot is 240 m.
  • It's length is 63 m.

To Find :

  • Breadth of rectangular plot ?
  • Area of the plot ?

Solution :

☯ We know that,

\large\star{\boxed{\sf{\red{ perimeter _{(rectangle)} = 2(Length  +  Breadth)}}}}⋆

  • Now, substitute the values :-

➠ \: { \sf{240 = 2(63  + b)}}

➠ \: { \sf{240 = 2 \times 63 + 2 \times b}}

➠ \: { \sf{240 = 126 + 2b}}

➠ \: { \sf{240 - 126 = 2b}}

➠ \: { \sf{114 = 2b}}

➠ \: { \sf{ \cancel \frac{114}{2}  = b}}

➠ \: { \boxed{ \purple{ \sf{57 = b}}}}

Hence, the breadth of rectangular plot is 57 m.

[ And, now we will find the area of the rectangular ]

☯ We know that,

 \large\star{\boxed{\sf{\green{ Area _{(rectangle)} = (Length \: \times Breadth)}}}}⋆

  • Now, substitute the values :-

➠ \: { \sf{Area = 63 \times 57}}

➠ \: { \boxed{ \pink{ \sf{Area = 3591 \: m ^{2} }}}}

Therefore, Area of rectangular plot is 3519 .

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