Question

perimeter of a rectangle is 2.4 less than 2 / 5 of the perimeter of a square if the perimeter of the square is 40 metre find the length and breadth of the rectangle given that breath is 1 / 3 of the length ???
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Answer 1

Answer:

length is 5.1 m   and  breadth is 1.7 m

Step-by-step explanation:

Let the length of the rectangle be '3x' and then breadth should be '1/3 of 3x' = x.     Hence,

perimeter of rectangle = 2(length + breadth)

  ⇒ perimeter of rectangle = 2(3x + x)

  ⇒ perimeter of rectangle = 8x

Given, perimeter of the rectangle is 2.4 less than 2/5 of perimeter of square(which is 40 m).

⇒ perimeter of rectangle = (2/5)*perimeter of square - 2.4

⇒ 8x = (2/5)*40 - 2.4

⇒ 8x = 16 - 2.4

⇒ 8x = 13.6

⇒ x = 13.6/8

⇒ x = 1.7

  ∴ breadth of rectangle = x = 1.7 m

 ∴ length = 3x = 3(1.7) = 5.1 m

Answer 2

Solution :

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Given , Perimeter of square = 40 m.

Breadth = 1/3 x length

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According to question given that,

Perimeter of a rectangle is 2.4 m less than 2/5 of the perimeter of a square.

Perimeter of rectangle = 2/5 x perimeter of a square - 2.4 m

= 2/5 x 40 (given) - 2.4

= 16 - 2.4

= 13.6

perimeter of rectangle = 2(Length + Breadth)

13.6 = 2(Length + Breadth)

13.6/2 = Length + Breadth

Length + Breadth = 6.8

According to question , put the values

3 Breadth + Breadth = 6.8

(Breadth = 1/3 x Length)

(3 Breadth = Length)

Now,

4 Breadth = 6.8

Breadth = 6.8/4

Breadth = 1.7

Then, Breadth = 1/3 x Length

put the value,

1.7 = 1/3 x length

Length = 1.7 x 3

Length = 5.1

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