Question

Question:-
The cost of fencing a rectangular field at Ruppe 18 per meter is Rupee 1980. If the width of the field is 23m, find its length.




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Answer 1

Given :

• Rate of fencing the field = Rs. 18
• Total cost of fencing = Rs. 1980
• Width of the field = 23 m

To find :

• Length of the field

Knowledge Required :

→ Perimeter of rectangle :-

• Perimeter of rectangle = 2(l + b)

where,

• l = length
• b = breadth

Solution :

As we know,

• Fencing is done only at the boundaries. So, firstly we will find the perimeter of the field.

Perimeter of the field = Total fencing ÷ Rate of fencing

→ Perimeter = 1980 ÷ 18

→ Perimeter = 110

Perimeter of the field = 110 m

→ Perimeter = 2(l + b)

→ 110 = 2(l + 23)

→ 110 ÷ 2 = l + 23

→ 55 = l + 23

→ 55 - 23 = l

→ 32 = l

• Length of the field = 32 m

━━━━━━━━━━━━━━━━━━━━

Verification :-

Substitute the value of l in 110 = 2(l + 23)

LHS = 110

Taking RHS,

→ 2(l + 23)

→ 2(32 + 23)

→ 2(55)

→ 110

RHS = 110

LHS = RHS

Hence, verified

Answer 2

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Step-by-step explanation:

The perimeter of the rectangle field =

18/1980 =110 m

The width of the field =23 m

We know that

2(length+width)=110

Therefore,

2(length+23)=110

length+23=55

length=32 m

Hence, this is the answer.