Question

3. Find the cost of levelling a square field with 20.9 m long side at the rate of
9 per square metre.
​

Answer 1

$\blue{\bold{\underline{\underline{Answer:}}}}$

$\green{\therefore{\text{Cost\:of\:levelling\:ground=3931.29\:rupees}}}$

$\orange{\bold{\underline{\underline{Step-by-step\:explanation:}}}}$

$\green {\underline \bold{Given : }} \\ \implies \text{Side \: of \: square = 20.9 \: m} \\ \\ \implies \text{Cost \: of \: levelling} \: 1 {m}^{2} \: \text{ground = 9 rupees} \\ \\ \red{\underline \bold{To \: Find : }} \\ \implies \text{Cost \: of \: levelling \:the \: ground =?}$

• In the given question information given about a square field whose side length is given and the cost of levelling the square field is given that is 9 rupees per meter square.

• So, first we find the Area of square and then multiply the Area with 9 so that the cost of levelling the ground we get.

• According to given question :

$\implies Area \: of \: square = {side}^{2} \\ \\ \implies Area = ({20.9})^{2} \\ \\ \green{\implies \text{Area = 436.81} \: {m}^{2}} \\ \\ \bold{Cost \: of \: levelling \: ground : } \\ \implies Cost = Area \: of \: ground \times 9 \\ \\ \implies Cost = 436.81 \times 9 \\ \\ \green{\implies \text{Cost = 3931.29 \: rupees}}$

Answer 2

$\Huge{\underline{\underline{\red{\mathfrak{Answer :}}}}}$

$\tt{\purple{Given}} \begin{cases} \sf{\green{Side \: of \: Square \: = \: 20.9 \: m}} \\ \sf{\pink{Cost \: of \: Leveling \: square \: field \: = \: Rs \: 9 m \: sq^{-1}}} \end{cases}$

We need to find cost of leveling the square field.

We have formula for area of square :

$\Large{\underline{\boxed{\tt{\blue{Area \: = \: Side^2}}}}}$

Put Values

⇒Area = (20.9)²

⇒Area = 436.81 m²

$\Large{\boxed{\sf{Area \: = \: 436.81 \: m^2}}}$

And for finding cost of leveling field multiply Area by the cost :

So,

⇒Cost of leveling = (436.81)(9)

⇒Cost of leveling = Rs 3931.29 ≈ Rs 3931

$\Large{\boxed{\sf{Cost \: = \: Rs \: 3931}}}$

$\rule{200}{2}$

See attached figure :

$\setlength{\unitlength}{1.5cm}\begin{picture}(8,2)\thicklines\put(7.7,3){\large{A}}\put(7.2,2){\mathsf{\large{9m}}}\put(7.7,1){\large{B}}\put(9,0.7){\matsf{\large{9m}}}\put(10.6,1){\large{C}}\put(8,1){\line(1,0){2.5}}\put(8,1){\line(0,2){2}}\put(10.5,1){\line(0,3){2}}\put(8,3){\line(3,0){2.5}}\put(10.6,3){\large{D}}\end{picture}$

Properties of Square :

• It is a 2-D figure

• It is a quadrilateral

• All the four sides are equal and angle between the sides is 90°

• Perimeter of square = 4 * Side

• Area of square = Side²