Math, asked by praneethpaavan, 3 days ago

the length of a rectangle is 20 metre more than its width if the perimeter of the rectangle is 100 metre then find the length and breadth of rectangle​

Answers

Answered by Sauron
25

Step-by-step explanation:

Solution :

Let,

  • Width (breadth) of rectangle = x
  • Length of rectangle = x + 20

Perimeter of rectangle = 100 metre (given)

Perimeter of rectangle = 2 (Length + Width)

100 = 2 [(x + 20) + x ]

100 = 2x + 40 + 2x

100 = 4x + 40

100 - 40 = 4x

60 = 4x

x = 60/4

x = 15

Width (breadth) of rectangle = 15 metre

Length of rectangle = x + 20

15 + 20

35

Length of rectangle = 35 metre

Therefore,

  • Width (breadth) of rectangle = 15 metre

  • Length of rectangle = 35 metre
Answered by Mrdangerous08
64

Answer:

\huge\colorbox{pink}{Question}

The length of a rectangle is 20 metre more than its width if the perimeter of the rectangle is 100 metre then find the length and breadth of rectangle?

➝ GIVEN

Length of rectangle - 20 m more than its width

Perimeter of rectangle - 100 m

➜ TO FIND

The length and breadth of rectangle

\huge\colorbox{red}{Answer}

☞ Length - 20 + Breadth

☞ Perimeter - 2( l + b ) = 100

= 2(20 + b ) = 100

☞ So, Let the breadth be "X"

☞ Then the length will be 20 + x

☞2 ( 20 + x ) = 100

☞ So, then

☞ 2x = 30

☞ X = 15

☞ Therefore, The breadth of the rectangle is 15 m

☞ So, therefore the length will be 20 + x

Means, 20 + 15

= 35 m.

Therefore,

Breadth = 15 m

Length = 35 m.

→ ADDITIONAL INFORMATION

Some, formula about Rectangle

Perimeter = add all the sides

Area = 1/2 × b × h

Length = a 2 + b 2 = c 2

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