Question

The area of a rectangular field is 18000 sq.m . If the ratio of length and breadth is 5:4 , find its perimeter

Answer 1

Answer:

Let the measure of lengths be x

So, length = 5 x

Breafth = 4x

Now, as we know, area of rectangle = l*b

So, l*b = 18000 m³

5x * 4x = 18000 m³

20 x²=18000m³

X²=18000m³/20

X²=900m³

X = 30 m

Putting value :

5x=5 * 30 = 150 m

4x = 4 * 30 = 120 m

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Answer 2

Answer:

540m

Step-by-step explanation:

Concept= Area and Perimeter of Rectangle

Given= The ratio of length and breadth and the area.

To find= The perimeter

Explanation=

We have been the question as the area of a rectangular field is 18000m². If the ratio of length and breadth is 5:4 , find its perimeter.

Ratio of Length : Breadth is 5:4 .

Let the Length be 5a  and Breadth be 4a  respectively.

Area of rectangle is given as Length*Breadth

The length is 5a , Breadth is 4a

Area given= 18000m²

Area=length*breadth

18000=5a*4a

18000=20a²

a²=18000/20 = 900

a=√900=30 m

Therefore,

Length = 5a = 5*30= 150 m

Breadth= 4a = 4*30= 120 m

The perimeter of rectangle is 2(length + breadth)

Perimeter= 2(5a+4a)

Perimeter= 2(150+120) m

Perimeter= 2*270 m

Perimeter= 540m

Therefore the Perimeter of Rectangle is 540m.

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