Question

Question 2.
Mrs Kaushik has a square plot with the measurement as shown in the figure. She wants to construct a house in the middle of the plot. A garden is developed around the house. Find the total cost of developing a garden around the house at the rate of ₹ 55 per m2.

Answer 1

Step-by-step explanation:

Area of the garden = Area of square plot - Area of house

Side of square plot=25m

Area of square plot side\times side

25\times25

=625\ m^2

Area of house =l\times b

length=20 m

breadth=15 m

Area of House=20\times15

=300\ m^2

Area of garden =625\ m^2-300\ m^2

=325\ m^2

Cost of developing a garden =Rs\ 55\times325\ m^2

=Rs 17,875

Answer 2

Answer:

Given :-

• Mrs Kaushik has a square plot with the measurement as shown in the figure.
• She wants to construct a house in the middle of the plot.
• A garden is developed around the house.

To Find :-

• What is the total cost of developing a garden around the house at the rate of ₹ 55 per m².

Solution :-

First, we have to find the area of square :

Given :

• Side of Square = 25 m

According to the question by using the formula we get,

$\implies \sf\boxed{\bold{Area_{(Square)} =\: (Side)^2}}$

$\implies \sf Area_{(Square)} =\: (25\: m)^2$

$\implies \sf Area_{(Square)} =\: (25\: m \times 25\: m)$

$\implies \sf\bold{Area_{(Square)} =\: 625\: m^2}$

Hence, the area of square is 625 m² .

Now, we have to find the area of a rectangle :

Given :

• Length = 20 m
• Breadth = 15 m

According to the question by using the formula we get,

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

$\implies \sf Area_{(Rectangle)} =\: 20\: m \times 15\: m$

$\implies \sf\bold{Area_{(Rectangle)} =\: 300\: m^2}$

Hence, the area of a rectangle is 300 m² .

Now, we have to find the area of garden :

Given :

• Area of Square = 625 m²
• Area of Rectangle = 300 m²

According to the question by using the formula we get,

$\small \implies \sf\boxed{\bold{Area_{(Garden)} =\: Area_{(Square)} - Area_{(Rectangle)}}}$

$\implies \sf Area_{(Garden)} =\: 625\: m^2 - 300\: m^2$

$\implies \sf\bold{Area_{(Garden)} =\: 325\: m^2}$

Hence, the area of garden is 325 m² .

Now, we have to find the total cost of developing a garden around the house :

Given :

• Area of Garden = 325 m²
• Cost of Developing Garden = ₹ 55 per m²

According to the question by using the formula we get,

$\small \dashrightarrow \sf\boxed{\bold{Total\: Cost =\: Area_{(Garden)} \times Cost_{(Garden)}}}$

$\dashrightarrow \sf Total\: Cost =\: 325 \times 55$

$\dashrightarrow \sf\bold{Total\: Cost =\: ₹\: 17875}$

$\therefore$ The total cost of developing a garden around the house is ₹ 17875 .