Question

The area of square plot is 9409m^2. Find the cost of fencing the field at the rate of ₹15 per metre.

Answer 1

Step-by-step explanation:

GIVEN:

solution :

Area of a square field = 9409 m²

Area = side x side

9409 = (side)²

=> Side = √9409

=> Side = 97 m

then,

Perimeter = 4 x side

= (4 × 97) m

= 388 m

Rate of fencing = Rs 15/ m

Cost of fencing the field = Rs ( 15 × 388)

=. 5,820

Answer 2

Answer:

Diagram :

$\setlength{\unitlength}{1cm}\begin{picture}(0,0)\thicklines\multiput(0,0)(4,0){2}{\line(0,1){4}}\multiput(0,0)(0,4){2}{\line(1,0){4}}\put(-0.5,-0.5){\bf}\put(-0.5,4.2){\bf}\put(4.2,-0.5){\bf}\put(4.2,4.2){\bf}\put(1.5,-0.6){\bf\large 97\ m}\put(4.4,2){\bf\large 97\ m}\end{picture}$

Given :

$\star$ The area of square plot is 9409 m².

$\star$ The rate of facing a field is 15 per meter.

To Find :

$\star$ The cost of fencing the field.

Using Formulas :

$\star$ Area of square = (side)²

$\star$ Perimeter of square = 4 × side

$\star$ Cost of fencing the field = Perimeter of field × rate per meter.

Solution :

$\bigstar$ Firstly, finding the side of square by substituting the values in formula :-

${\dashrightarrow{\sf{Area \: of \: square = {(side)}^{2}}}}$

${\dashrightarrow{\sf{9409 = {(side)}^{2}}}}$

${\dashrightarrow{\sf{Side = \sqrt{9409}}}}$

${\dashrightarrow{\sf{Side = \sqrt{97 \times 97}}}}$

${\dashrightarrow{\sf{Side = 97 \: m}}}$

∴ The side of square is 97 m.

$\rule{200}2$

$\bigstar$ Now, finding the perimeter of square by substituting the values in formula :

${\dashrightarrow{\sf{Perimeter \: of \: square = 4 \times side}}}$

${\dashrightarrow{\sf{Perimeter \: of \: square = 4 \times 97}}}$

${\dashrightarrow{\sf{Perimeter \: of \: square = 388 \: m}}}$

∴ The perimeter of square is 388 m.

$\rule{200}2$

$\bigstar$ Now, calculating the cost of fencing the field.

${\dashrightarrow{\sf{Cost = Perimeter \: of \: field \times Rate \: per \: meter}}}$

${\dashrightarrow{\sf{Cost = 388 \times 15}}}$

${\dashrightarrow{\sf{Cost =Rs.5820}}}$

Hence, The cost of fencing the field at the rate of Rs.15 per meter is Rs.5820.

Learn More :

$\star$ Area of square = (side)²

$\star$ Perimeter of square = 4 × side

$\star$ Diognal of square = side√2

$\star$ Area of parallelogram= Base × Height

$\star$ Perimeter of parallelogram = 2(a + b)

$\star$ Area of rectangle = Length x Breadth

$\star$ Perimeter of a rectangle = 2(l + b)

$\star$ Diagonal of rectangle = √(l)²+(w)²

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