Question

Q1.the length and width of the field are in the ratio 2:3 fencing =45m

Answer 1

Explanation:

Given

Length and width of the field are in the ratio 2:3 and fencing = 45m

To find

Length and breadth

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Since ,we don't know the length and breadth and we know that field is in the form of a Rectangle.

Concept:

To fence a field with wire we need to find the cost of fencing in such case perimeter will used because we have to only fence border of the field

Now ,we'll apply perimeter of Rectangle

Perimeter of Rectangle= 2(l+b)

Where,l is the length and b is the breadth

since,the length and breadth are given in the ratio 2:3 so,

length Will be 2x and breadth will be 3x

Perimeter of Rectangle= 2(2x+3x)

\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:\:\:\:\:\:\: =2(5x)=10x

Now, we have to fence 45 m

So , 10x = 45

x= 4.5

Now, finding length and breadth of the field

length = 2x= 2*4.5=9m

Breadth= 3x=3*4.5=13.5m

Check:

perimeter of field = 2(9+13.5)

Perimeter of the field= 2(22.5)

Perimeter of Rectangle= 45 m

More information=>

Perimeter is the total distance occupy by a solid 2D figure around its edge.