Question

$\huge\tt{\fbox{Question:-}$
the length and the breadth of a rectangular field are in the ratio 3:2 . If the area of the field is 3456 m² .find the cost of fencing it at rupees 60 per metre.​

Answer 1

Given : Length and Breadth of the field are in the ratio 3:2 .Area of the field is 3456 m² .Rate of fencing is Rs.60 per m² .

To Find : Total Cost of fencing

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SolutioN : For finding the Total Cost we need the Perimeter of the field .So, first let's Calculate the Dimensions and after that we can find the Perimeter and Cost . Let's Solve :

$\maltese$ Formula Used :

• ${\underline{\boxed{\sf{ Area = Length \times Breadth }}}}$

• ${\underline{\boxed{\sf{ Perimeter = 2 \bigg( Length + Breadth \bigg) }}}}$

Where :

• Length = 3y
• Breadth = 2y

$\maltese$ Calculating the Value of y :

$\qquad {\longmapsto{\qquad{\sf{ Area = Length \times Breadth }}}} \\ \\ \\ \ {\longmapsto{\qquad{\sf{ 3456 = 3y \times 2y }}}} \\ \\ \\ \ {\longmapsto{\qquad{\sf{ 3456 = {6y}^{2} }}}} \\ \\ \\ \ {\longmapsto{\qquad{\sf{ \dfrac{3456}{6} = {y}^{2} }}}} \\ \\ \\ \ {\longmapsto{\qquad{\sf{ \cancel\dfrac{3456}{6} = {y}^{2} }}}} \\ \\ \\ \ {\longmapsto{\qquad{\sf{ 576 = {y}^{2} }}}} \\ \\ \\ \ {\longmapsto{\qquad{\sf{ \sqrt{576} = y }}}} \\ \\ \\ \ {\qquad \; \; {\longmapsto{\underline{\boxed{\pmb{\frak{ y = 24 }}}}}}} \; {\purple{\bigstar}}$

$\maltese$ Calculating the Cost of fencing :

${\dashrightarrow{\qquad{\sf{ Cost = Perimeter \times Rate }}}} \\ \\ \\ \ {\dashrightarrow{\qquad{\sf{ Cost = 2 \bigg( Length + Breadth \bigg) \times Rate }}}} \\ \\ \\ \ {\dashrightarrow{\qquad{\sf{ Cost = 2 \bigg( 3y + 2y \bigg) \times 60 }}}} \\ \\ \\ \ {\dashrightarrow{\qquad{\sf{ Cost = 2 \bigg\{ \bigg( 3 \times 24 \bigg) + \bigg( 2 \times 24 \bigg) \bigg\} \times 60 }}}} \\ \\ \\ \ {\dashrightarrow{\qquad{\sf{ Cost = 2 \bigg( 72 + 48 \bigg) \times 60 }}}} \\ \\ \\ \ {\dashrightarrow{\qquad{\sf{ Cost = 2 \times 120 \times 60 }}}} \\ \\ \\ \ {\dashrightarrow{\qquad{\sf{ Cost = 240 \times 60 }}}} \\ \\ \\ \ {\qquad \; \; {\longmapsto{\underline{\boxed{\pmb{\frak{ Cost = ₹ \; 14400 }}}}}}} \; {\red{\bigstar}}$

$\therefore \;$ Cost of fencing the field is ₹ 14400 .

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Answer 2

The message of the poem is everyone of us must have strong determination and have a firm belief in themselves in spite of what comes their way. In the poem, the sower, motivates people to stick to their goals and be resolute, dedicated, and persistent until they achieve their goals.