Question

The cost of fencing a square park at the rate of 20 per metre is rupees 8000. Find the length of side of the square.​ step by step​

Answer 1

Answer:

100m

Step-by-step explanation:

In such cases

cost = rate * area (or perimeter)

In this question, we have the cost of fencing, so it's about the perimeter.

=> Cost = Rate * Perimeter

=> 8000 = 20 * perimeter

=> 8000/20 = perimeter

=> 400 = perimeter

As we know, perimeter of square is 4 times of the length of the side. If length of the side is 'a', then the perimeter is 4a.

=> 400 = 4a

=> 400/4 = a

=> 100 = a

Hence, the length of side of the square is 100m.

Answer 2

${\large{\red{\underbrace{\underline{\bf{Given :-}}}}}}$

• ↠ The cost of fencing Rs.20 per metre is Rs.8000 .

${\large{\blue{\underbrace{\underline{\bf{To Find:-}}}}}}$

• ↠ Find the side of square.

${\large{\orange{\underbrace{\underline{\bf{Solution:-}}}}}}$

❒ Finding the perimeter :

${\large{\red{\maltese{\blue{\boxed{\green{\boxed{\orange{\bf{Cost = Rate \times Perimeter}}}}}}}}}}$

❒ Perimeter :

${\large{:{\longrightarrow{\bf{8000 = 20 \times Perimeter}}}}}$

${\large{:{\longrightarrow{\bf{ Perimeter = {\cancel \frac{8000}{20} }}}}}}$

${\red{➤{\red{\underline{\blue{\bf{Perimeter = 400 m}}}}}}}$

❒ We know that :

${\large{\red{\maltese{\blue{\boxed{\green{\boxed{\orange{\bf{Perimeter = 4 \times Side}}}}}}}}}}$

❒ Side :

${\large{:{\longrightarrow{\bf{Perimeter = 4 \times Side}}}}}$

${\large{:{\longrightarrow{\bf{400= 4 \times Side}}}}}$

${\large{:{\longrightarrow{\bf{ Side = {\cancel \frac{400}{4} }}}}}}$

${\large{\green{:{\longmapsto{\pink{\underline{\overline{\boxed{\bf{Side = 100 m}}}}}}}}}}$

❒ Therefore :

➬ Side = 100 m.

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