Question

how many gardens ,each 40m long and 15 cm wide ,can be made out 6 hectares of land

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Answer 1

$\large\underline{\sf{Solution-}}$

Given that,

• Area of land = 6 hectares = 6 × 10000 sq. m = 60000 sq. m

Dimensions of garden

• Length of garden = 40 m

• Breadth of garden = 15 cm = 0.15 m

So,

$\rm \: Area_{(garden)} \: = \: length \: \times \: breadth$

$\rm \: Area_{(garden)} \: = \: 40 \: \times \: 0.15$

$\rm\implies \:\boxed{ \rm{ \:Area_{(garden)} \: = \: 6 \: {m}^{2} \: \: }}$

Now,

• Let assume that number of garden of length 40 m and breadth 15 cm be n.

So, According to statement,

$\rm \: n \times Area_{(garden)} = Area_{(land)}$

$\rm \: n \times 6 = 60000$

$\rm\implies \:\boxed{ \rm{ \:n \: = \: 10000 \: \: }}$

Hence, number of gardens be 10000.

$\rule{190pt}{2pt}$

Additional information :-

$\begin{gathered}\begin{gathered}\boxed{\begin {array}{cc}\\ \dag\quad \Large\underline{\bf Formulas\:of\:Areas:-}\\ \\ \star\sf Square=(side)^2\\ \\ \star\sf Rectangle=Length\times Breadth \\\\ \star\sf Triangle=\dfrac{1}{2}\times Base\times Height \\\\ \star \sf Scalene\triangle=\sqrt {s (s-a)(s-b)(s-c)}\\ \\ \star \sf Rhombus =\dfrac {1}{2}\times d_1\times d_2 \\\\ \star\sf Rhombus =\:\dfrac {1}{2}d\sqrt {4a^2-d^2}\\ \\ \star\sf Parallelogram =Base\times Height\\\\ \star\sf Trapezium =\dfrac {1}{2}(a+b)\times Height \\ \\ \star\sf Equilateral\:Triangle=\dfrac {\sqrt{3}}{4}(side)^2\end {array}}\end{gathered}\end{gathered}$

Answer 2

Answer:

10,000 gardens

Step-by-step explanation:

Given:-

Area of land = 6 hectares

Length of the garden = 40m

Breadth of the garden = 15cm

To Find:-

How many gardens does it requires in 6 hectares of land?

Solution:-

We know,

$\Longrightarrow\boxed{\bold{1\:hectare=10000m^2}}$

$\Longrightarrow\boxed{\bold{1m=100cm}}$

Area of land = 6 hectares

                    = 6 x 10000

                    = 60000 sq.m

Breadth of garden = 15cm

                               = 15/100m

                               = 0.15m

Area of garden = 40 x 0.15

                         = 6 sq.m

Let the number of gardens be y

⇒ y x 6 = 60000

⇒ y = 60000/6

⇒ y = 10000

Number of gardens required in 10 hectares of land =10000