Math, asked by chandrakeshnarayan96, 12 hours ago

the length of a rectangular field is 8 metre less than twice its breadth if the perimeter of a rectangular field is 80 meters
find its length and breadth pls ans pls​

Answers

Answered by Anonymous
2

Answer:

The length and Breadth of Rectangle is 32m & 16m  respectively.

Step-by-step explanation:

Given:-

The length of a rectangular field is 8 meters less than twice its breadth.

The perimeter the rectangular field is 80m

To Find:-

The length and breadth of Rectangle.

Formulae used:-

Perimeter of Rectangle = 2( L + B ).

Now,  

Let the Breadth be "x"

→ Length of Rectangle = 2x - 8

further ,

→ Perimeter of Rectangle = 2 ( L + B )

→ 80 = 2 ( 2x - 8 + x )

→80/2 = 2x - 8 + x

→ 40 = 3x - 8

→40+ 8 = 3x

→ 48 = 3x

→ x = 48/3

→ x = 16

So, The Breadth of Rectangle is 16m.

→ Length of Rectangle → 2x - 8 → 40 - 8 → 32m

therefore, The length and Breadth of Rectangle is 32m & 16m respectively.

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Answered by Sauron
10

Answer:

Length is 24 m and Breadth is 16m

Step-by-step explanation:

Let,

The breadth of rectangle be x

The length of rectangle = 2x - 8

 

The Perimeter of rectangle = 80 meters

The Perimeter of rectangle = 2 (length + breadth)

\longrightarrow 80 = 2 (x + (2x - 8))

\longrightarrow 80 = 2x + 4x - 16

\longrightarrow 80 = 6x - 16

\longrightarrow 80 + 16 = 6x

\longrightarrow 96 = 6x

\longrightarrow x = 96 / 6

\longrightarrow x = 16

The breadth of rectangle = 16 m

The length of rectangle = 2x - 8

\longrightarrow 2 (16) - 8

\longrightarrow 32 - 8

\longrightarrow 24

The length of rectangle = 24 m

Therefore, Length is 24 m and Breadth is 16m.

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