Math, asked by reetdhaliwal5119, 1 year ago

The cost of fencing a rectangular field at 25 per metre is 2400 if the breadth is field is 18 cm its length will be

Answers

Answered by SreenikethanI
7

Hey there!

They have given the total cost, which is Rs. 2400, and they have also given the rate per meter, which is Rs. 25.

We know that perimeter × rate = total cost

So, we can find the perimeter easily by substituting the values:

p \times r = total

p \times 25 = 2400

p = \dfrac{2400}{25}

p = 96m

We got the value of the perimeter. Do you remember that there is a formula for perimeter also? It is the following:

p = 2\left(l + b\right)

Simply substitute the values! It will be solved like this:

p = 2\left(l + b\right)

96 = 2\left(l + b\right)

Rearranging it will give this:

2\left(l + b\right) = 96

l + b = \dfrac{96}{2}

l + b = 48

We know that b=18, so if we put it in this equation:

l + 18 = 48

l = 48 - 18

l = 30m

There you go! The length of the field is 30m.

Important points/concepts to remember:

  1. Formula of perimeter of a rectangle
  2. Perimeter × rate per meter = total cost

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