Math, asked by sathishgh7, 1 month ago

The length of a rectangular field is 4 times its breadth . Its perimeter is 400m , then find its length and breadth .
Please do not give direct answers .​

Answers

Answered by tirunagarun
2

Step-by-step explanation:

Let the breadth of the rectangle=x

Length of the rectangle=4x

Perimeter=400(GIVEN)

perimeter=2(l+b)

400=2(4x+x)

400=2(5x)

400=10

(breadth)x=400/10

=40m

length=4x

=4x40

=160m

THEREFORE the length and breadth of the field=160m and 40m

Answered by monishashkl
2

Answer:

The respective length and breadth of the field are 160m and 40 m respectively.

Step-by-step explanation:

Here we have been mentioned that the respective length of the rectangular field is 4 times the breadth. Let us take into the assumption that the breadth is n and therefore we have the length is 4n. Now it has been also mentioned that the perimeter is 400m. The formula of the perimeter of the rectangular field is below:

Perimeter = 2 (l + b)

Perimeter = 2( 4n +n)

⇒ 400 = 2 (5n)

⇒ 400 = 10n

⇒ n = 40

Therefore we have the breadth to be 40 m and length = 4 × 40 m = 160m

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