Math, asked by ranjita123mandal, 7 months ago

the length of a rectangle is thrice the breadth. if its perimeter is 144 m, find its length and breadth. ​

Answers

Answered by Uriyella
5

The both sides of the rectangle are :

  • The length of the rectangle = 54 m.
  • The breadth of the rectangle = 18 m.

Given :

  • The length of a rectangle is thrice the breadth.
  • The perimeter of the rectangle = 144 m.

To Find :

  • The length and the breadth of the rectangle.

Solution :

Let,

The breadth of the rectangle be x.

The length of the rectangle be 3x because according to the question, the length of a rectangle is thrice the breadth of a rectangle.

Given,

Perimeter of the rectangle = 144 m

We know that,

Perimeter of the rectangle = 2(l + b)

Where,

• l = length.

• b = breadth.

Therefore,

: \implies \rm  2(3x + x) = 144 \: m \\  \\ : \implies \rm  6x + 2x = 144 \: m \\  \\ : \implies \rm  8x = 144 \: m \\  \\ : \implies \rm  x =  \dfrac{144}{8}  \: m \\  \\ : \implies \rm  x = 18 \: m \\  \\  \:  \:  \rm \therefore \:  \: x = 18 \: m

So, the sides of the rectangle are :

★ The length = 3x = 3 × 18 m = 54 m.

★ The breadth = x = 18 m.

Hence,

The length and the breadth of the rectangle are 54 m and 18 m.

Answered by vaishnavirajdps
1

Answer:

54 m 18 cm the ans is this

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