Question

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4. The length and breadth of a rectangular field are in the ratio of 3 : 2. If its perimeter is 600 m,
find its sides.​

Answer 1

Answer:

let ratio = x

so length = 3x

breadth = 2x

Perimeter =600

2(3x+2x)=600

x=60

length =180

breadth=120

Answer 2

Question

The length and breadth of a rectangular field are in the ratio of 3 : 2. If its perimeter is 600 m, find its sides.

Answer

let the length be 3x

And the breath be 2x

Given:-

Perimeter = 600

We know that

Perimeter of a rectangle = 600

2(l+b) = 600

=> 2(3x + 2x) = 600

=> 6x + 4x = 600

=> 10x = 600

=> x = 60

putting the value of "x",we get

Length = 3x

= 3×60

= 180

Breadth=2x

=2×60

= 120

Let's verified the answer.

Given→Perimeter=600

From calculation,

length=180

breadth=120

Perimeter = 2(l+b)

= 2( 180+120)

= 2(300)

= 600

Hence verified!!

Therefore, the sides are:-

Length = 180m

Breadth = 120m

Extra

Know more

*A rectangle is a two-dimensional shape having four sides and four angles.

*Each measured angle of a rectangle is 90°

* The perimeter of a rectangle is 2(l+b)

* The area of a rectangle is (lx b).