Question

The cost of fencing a rectangular feild at ruppes 18 perimeter 15 ruppes 1980. If the width of the feild 23m find its length.

Answer 1

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Realated question:-

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Answer 2

We are given that the cost of fencing a rectangular field at Rs 18 per meter is Rs 1980 and the width of the field is 23 m.

Let us assume that the length is represented by ll m.

First, we will compute the total fence by dividing the total cost of fencing with the cost of fencing a rectangular field.

⇒Total Fenced=198018⇒Total Fenced=110 m⇒Total Fenced=198018⇒Total Fenced=110 m

Since the fencing is done on the boundary of a rectangular field, the total fencing of a rectangular field is equal to the perimeter of a rectangle.

We know that the perimeter of a rectangle is calculated using the formula,2(l+b)2(l+b), where ll is the length and bb is the breadth.

Since we are given the width of a rectangle is 23 m, which is also the breadth of a rectangle.

Substituting the value of perimeter of a rectangle and breadth in the above formula of perimeter of a rectangle, we get

⇒110=2(l+23)⇒110=2(l+23)

Dividing the above equation by 2 on both sides, we get

⇒1102=2(l+23)2⇒55=l+23⇒1102=2(l+23)2⇒55=l+23

Subtracting the above equation by 23 on each side, we get

⇒55−23=l+23−23⇒32=l⇒l=32 m⇒55−23=l+23−23⇒32=l⇒l=32 m

Thus, the length of a rectangular field is 32 m.