Question

Q.7) Find the cost of a square plot with side 8m at the rate of 50rs. per sqm​

Answer 1

Question :

Find the cost of a square plot with side 8m at the rate of 50rs. per sq m.

Answer :

$\sf\pink{Given:}$

• Side of a square plot is 8 m .

• Rate is 50 Rs per m² .

$\sf\pink{To\:find:}$

• cost of the plot ?

Explanation :

To find the cost of plot we first need to find its area .

Area of square plot = side²

$\\ \longrightarrow\sf{ {8}^{2}}$

$\\ \longrightarrow\sf{64}$

• Therefore the area is 64 m²

Cost of plot = Area × Rate

$\\ \longrightarrow\sf{64\times 50}$

$\\ \longrightarrow\sf{3200}$

• Therefore the cost is Rs 3200 .

Answer 2

$\underline{ \underline{ \Large \pmb{\sf { {Answer:}} }} }$

$\underline{ \underline{ \Large \pmb{\sf { {Given:}} }} }$

• Side of a square plot = 8 m

• Cost of 1 m² = Rs. 50

$\underline{ \underline{ \Large \pmb{\sf { {To \: calculate:}} }} }$

• The total cost of a square plot .

$\underline{ \underline{ \Large \pmb{\sf { {Calculation:}} }} }$

Here, we are given the length of the side of the square plot. In order to find the cost of the square plot , we need to find its area first. So, we'll calculate the area of the square plot. Then, we'll multiply with the cost of 1 m² to calculate the total cost of a square plot .

⠀⠀⠀⠀⠀_____________

According to the question,

→ Cost of square plot = Area of the plot × Cost of 1 m² of the plot

Calculating the area of the plot :-

We know that,

$\bigstar \boxed { \sf { {Area}_{(Square)} = Side \times Side } }$

Substituting values,

$\longrightarrow \sf { {Area}_{(Square \: Plot)} = 8 \: m \times 8 \: m}$

$\longrightarrow \sf \red{ {Area}_{(Square \: Plot)} = 64 \: {m}^{2} }$

Now,

$\bigstar \boxed { \sf { {Cost }_{(1 \: {m}^{2} \: of \:plot)} = Rs. \: 50 } }$

$\longrightarrow \sf { {Cost}_{(Square \: Plot)} = Area \times Rs. \: 50}$

$\longrightarrow \sf { {Cost}_{(Square \: Plot)} = Rs. \: ( 64 \times \: 50) }$

$\longrightarrow \sf \red { {Cost}_{(Square \: Plot)} = Rs. \: 3200}$

Henceforth, the cost of a square plot is Rs. 3200.

$\underline{ \underline{ \Large \pmb{\sf { {More \:about \: a \:square !}} }} }$

• A square is a quadrilateral having 4 sides, 4 angles and 4 vertices.

• All the sides of a square are equal.

• A square also a parallelogram as its opposite sides are parallel to each other.

• All the angles of a square are of 90°.

• Diagonals of a square bisect each other.

• Perimeter of the square = 4 × Side

• Area of the square = Side × Side