Question

4. Find the cost of fencing a rectangular field of length 125 m and and breadth 75 m at the rate of
14 per metre​

Answer 1

Step-by-step explanation:

$perimeter \: of \: rectangle \\ = 2(l + b) \\ = 2(125 + 75) \\ = 2(2 00) \\ = 400m \\ cost \: of \: fencing \: \\ = 14 \: per \: m \\ = 14 \times 400 \\ = 5600$

5600 rupees

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Answer 2

Answer :-

• The cost of fencing the rectangular field is Rs 5600.

Given :-

• Length of the rectangular field = 125 m.
• Breadth of the rectangular field is 75 m.

To find :-

• The cost of fencing it at the rate of Rs 14 per metre.

Step-by-step explanation :-

• In this question, the length and breadth of a rectangular field has been given to us. We have to find the cost of fencing it at the rate of Rs 14 per metre. We are going to find the perimeter of the rectangular field before finding the cost since we are asked to fence it. Then we will find the cost of fencing it.

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First let's find the perimeter of the field!

We know that :-

$\underline{\boxed{\sf Perimeter \: of \: a \: rectangle = 2 \: (L + B)}}$

Here,

• Length = 125 m.
• Breadth = 75 m.

$\underline{ \underline{ \mathfrak{Substituting \: the \: given \: values,}}}$

$\tt Perimeter = 2 \: (125 + 75)$

Adding the numbers inside the brackets,

$\tt Perimeter = 2 \: (200)$

Removing the brackets,

$\tt Perimeter = 2 \times 200$

Multiplying the numbers,

$\overline{\boxed{\tt Perimeter = 400 \: m}}$

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Now let's find the cost of fencing the playground, since we know it's perimeter!

• The rate of fencing is Rs 14 per metre.

Hence,

The cost of fencing the playground is :-

$\boxed{ \longmapsto \sf14 \times 400}$

$\overline{ \boxed{ \longmapsto\sf Rs \: 5600}}$

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• Thus, the cost of fencing is Rs 5600.