Math, asked by avvarulikitha, 11 months ago

Length of the rectangle be exceeds it's breadth by 4 .if perimeter of the rectangle is 84 find length and breadth

Answers

Answered by Tanujrao36
2

So breadth of rectangle=19

Length of rectangle=23

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Answered by pandaXop
12

Length = 23

Breadth = 19

Step-by-step explanation:

Given:

  • Length of a rectangle exceeds its breadth by 4.
  • Perimeter of the rectangle is 84.

To Find:

  • What is the measure and length & breadth of rectangle ?

Solution: Let the breadth of rectangle be x. Therefore,

➟ Length of rectangle = 4 more than breadth

➟ Length = (x + 4)

As we know that ,

Perimeter of Rectangle = 2 ( Length + Breadth )

A/q

  • Perimeter = 84

\implies{\rm } 84 = 2 ( x + 4 + x )

\implies{\rm } 84 = 2 \times ( 2x + 4 )

\implies{\rm } 84 = 4x + 8

\implies{\rm } 84 8 = 4x

\implies{\rm } 76 = 4x

\implies{\rm } 76/4 = x

\implies{\rm } 19 = x

Hence :-

➟ Length of rectangle = (x + 4) = 19+4 = 23

➟ Breadth of rectangle = x = 19

________________________

★ Verification ★

➙ 2(Length + Breadth) = 84

➙ 2(23 + 19) = 84

➙ 2 \times 42 = 84

➙ 84 = 84

[ Verified ]

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