Math, asked by jsanthosh766, 10 months ago

The length of a rectangle is 3 times it's breadth and the perimeter of a rectangle is 368m. Find it's area​

Answers

Answered by peeyuas
3

Answer:

area= 6348m

Step-by-step explanation:

SOLUTION =

let the breadth of rectangle is a

and the length of rectangle is 3(a)

given,

perimeter of rectangle is 368 m

firstly find the length and breadth =

perimeter = 2 ( length + breadth)

368 = 2( 3a + a)

368 = 2 ( 4a )

368 = 8a

368 = a

8

46 = a

then, breadth = a = 46m

and length = 3(a) = 3 * 46

= 138m

Now,

area = Length * breadth

138 * 46

Area = 6348 m. answer

Answered by Sauron
27

Answer:

The area of the rectangle is 6348 m².

Step-by-step explanation:

Given :

Length of the rectangle = 3 times its breadth

Perimeter = 368 m

To find :

Its area

Solution :

Let the -

  • Breadth be y
  • Length be 3y

Perimeter = 2(Length + Breadth)

⇒ 368 = 2(3y + y)

⇒ 368 = 6y + 2y

⇒ 368 = 8y

⇒ y = 368/8

⇒ y = 46

Breadth = 46 m

Value of 3y

⇒ 3(46)

⇒ 138

Length = 138 m

\rule{300}{1.5}

Area of the rectangle -

Area = Length × Breadth

⇒ 138 × 46

⇒ 6348 m²

\therefore The area of the rectangle is 6348 m².

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