Question

The area of a square field is 576 m2. Find(i) the length of its sides.(ii) its Perimeter.(iii) cost of fixing a fence along the boundary of the field at the rate of Rs.3.20 per meter. PLs can u guys answer it fast i need help..

Answer 1

Answer:

1. 24 metres.
2. 96metres.
3. ₹307

Explanation :

Area of the field is 576m²

Solving (i) :

The field is square shaped.

We know that,

Area of a square is : (each side)²

Or,

→ 576 = (each side)²

→ √576 = each side

→ 24 = each side

Hence, each side of the field is 24m.

Solving (ii) :

Perimeter of a square is : 4 × each side

→ 4 × 24

→ 96m.

Hence, the perimeter of the field is 96metres.

Solving (iii) :

Cost of fencing is :

→ perimeter of the field × rate of fencing

Where,

rate is ₹3.20 per metre.

So,

→ 96 × 3.20

→ 307.2

→ ₹307 ( approx. )

Cost of fencing is ₹307 (approx.)

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Answer 2

Question -

• The area of a square field is 576 sq. m. Find (i) the length of its sides. (ii) its Perimeter. (iii) Cost of fixing a fence along the boundary of the field at the rate of Rs.3.20 per meter.

Answer

Given -

• The area of a square field is 576 sq. m.

To Find

• (i) The length of its sides.

• (ii) Its Perimeter.

• (iii) Cost of fixing a fence along the boundary of the field at the rate of Rs.3.20 per meter.

Formula Used -

$\begin{gathered}(1)\:{\underline{\boxed{\bf{\blue{{\tt \: Area_{(square)} = {(side)}^{2} }}}}}} \\ \end{gathered}$

$\begin{gathered}(2)\:{\underline{\boxed{\bf{\blue{{\tt \: Perimeter_{(square)} = 4 \times side }}}}}} \\ \end{gathered}$

Solution -

• According to statement,

$\rm :\implies\:Area_{(square)} \: = 576$

$\rm :\implies\: {(side)}^{2} = {24}^{2}$

$\rm :\implies\:\begin{gathered}\:{\underline{\boxed{\bf{\blue{{\bf \: side \: = 24 \: m}}}}}} \\ \end{gathered}$

Now,

• Perimeter of square is given by

$\rm :\implies\:Perimeter_{(square)} = 4 \times side$

$\rm :\implies\:Perimeter_{(square)} = 4 \times 24$

$\begin{gathered}\:{\underline{\boxed{\bf{\blue{{\bf \: Perimeter_{(square)} \: = \: 96 \: m }}}}}} \\ \end{gathered}$

Now,

$\rm :\implies\:Cost \: of \: fencing \: 1 \: m = ₹ \: 3.20$

So,

$\rm :\implies\:Cost \: of \: fencing \: of \: 96 \: m = 3.2 \times 96 = ₹ \: 307.20$