Question

9)

The side of a square shaped ground is 75m. A four layers of fence is laid
around it. If the cost of it is 34 rupees per meter, find the total amount to buy the
fence.

Answer 1

Answer:

$\red\bigstar$ Total amount to buy the fence = ₹40800.

SOLUTION

Side of the square shaped ground = 75m.

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Perimeter of a square = 4a , Where a is the side of the square.

Here,

a = 75m.

⇒ Perimeter of the square garden = 4 × 75

⇒ Perimeter of the square garden = 300m.

$\boxed{\sf Cost \: of \: buying \: the \: fence = Perimeter \: of \: the \:garden * Rate \:of \:fence}$

Here,

Perimeter of the square garden = 300m.

Rate of fencing = ₹34/m.

⇒ Cost of buying the fence = 300 × 34

⇒ Cost of buying the fence = ₹ 10200

∵ It is said in the question that four layers of fence is laid around the garden

⇒ Total amount to buy the fence = 4 ×  10200

⇒ Total amount to buy the fence = ₹40800

Answer 2

Answer:

• Perimeter= 300 m.
• Cost of fencing with one layer= ₹10200.
• Cost of fencing with 4 layers = ₹40800.

Step-by-step explanation:

Question -

The side of a square shaped ground is 75m. A four layers of fence is laid

around it. If the cost of it is 34 rupees per meter, find the total amount to buy the

fence.

ㅤ

Given-

• Side of the square shaped ground= 75 m.
• Cost of fencing per meter = ₹34.

ㅤ

To find -

• Perimeter of the ground.
• Cost of fencing with one layer.
• Cost of fencing with four layers.

ㅤ

Solution -

ㅤ

➠ㅤLet's first find the perimeter of the square ground.

$\color{red}\boxed{\colorbox{saffron}{Perimeter-4×side}}$

$4 \times 75 \\ \\ = 300 \: m$

So, perimeter of the ground = 300 m.

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➠ㅤLet's now find the cost of fencing.

$\bold\orange{Perimeter×cost\:of\:fencing\:per\:meter}$

$= 300 \times 34 \\ \\ = 10200$

So, cost of fencing is ₹10200.

ㅤㅤ✎﹏﹏﹏﹏﹏﹏﹏﹏﹏﹏

➠ㅤNow at last, as mentioned in the question that askes for the cost of fencing with four layers, let's find it.

$\bold\color{magenta}{4×cost\:of\:fencing}$

$4 \times 10200 \\ \\ = 40800$

So, cost of fencing with 4 layers is ₹40800.

ㅤㅤ★________________★