Question

The Length and the breadth of a rectangular peace of land are 500m and 300m, respectively.Find
(i) It's Area
(ii) The cost of the land, if 1 m2 of the land cost ₹ 10,000.
​

Answer 1

Answer:

(i) Area of land 150000m²

(ii) Total Cost of land ₹ 1500000000

Step-by-step explanation:

According to the Question

It is given that,

• Length,l = 500m
• Breadth ,b = 300m

We have to calculate the given

(i) its Area

As we know that

Area of Rectangle = Length × Breadth

On substituting the value we get

↠ Area of land = 500×300

↠ Area of land = 150000 m²

• Hence, the area of land is 150000m²

(ii) The cost of the land, if 1 m² of the land cost ₹ 10,000.

We have to calculate the Cost of land .

Total Cost of Land = Total Area × Cost of 1m² land

On substituting the value we get

↠ Total Cost = 150000 × 10000

↠ Total Cost = 1500000000

• Hence, the total cost of land is ₹ 1500000000.

Additional Information !!

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

Answer 2

Answer:

Given :-

• The length and breadth of a rectangular land are 500 m and 300 m respectively.

To Find :-

• What is the area of a rectangular land.
• What is the cost of the land, if 1 m² of the land cost ₹ 10000.

Formula Used :-

$\clubsuit$ Area Of Rectangle Formula :

$\small \bigstar \: \: \sf\boxed{\bold{Area_{(Rectangle)} =\: Length \times Breadth}}\: \: \: \bigstar$

Solution :-

(i) Area Of Rectangular Land :

Given :

• Length = 500 m
• Breadth = 300 m

According to the question by using the formula we get,

$\small \implies \sf\bold{Area_{(Rectangular\: Land)} =\: Length \times Breadth}$

$\implies \sf Area_{(Rectangular\: Land)} =\: 500\: m \times 300\: m$

$\implies \sf Area_{(Rectangular\: Land)} =\: (500 \times 300)\: m^2$

$\implies \sf Area_{(Rectangular\: Land)} =\: (150000)\: m^2$

$\implies \sf\bold{\underline{Area_{(Rectangular\: Land)} =\: 150000\: m^2}}$

$\therefore$ The area of a rectangular land is 150000 m² .

(ii) Cost of Land :

Given :

• Cost of Land per m² = ₹ 10000
• Area of Rectangular Land = 150000 m²

According to the question by using the formula we get,

$\small \implies \sf\bold{Cost_{(Land)} =\: Area_{(Rectangular\: Land)} \times Cost\: of\: Land\: per\: m^2}$

$\implies \sf Cost_{(Land)} =\: 150000 \times 10000$

$\implies \sf\bold{\underline{Cost_{(Land)} =\: ₹\: 1500000000}}$

$\therefore$ The cost of land is ₹ 1500000000 .