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.
Answers & Comments
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
Verified answer
Answer:
Given :-
To Find :-
Solution :-
First, we have to find the area of square :
Given :
According to the question by using the formula we get,
[tex]\implies \sf\boxed{\bold{Area_{(Square)} =\: (Side)^2}}\\[/tex]
[tex]\implies \sf Area_{(Square)} =\: (25\: m)^2\\[/tex]
[tex]\implies \sf Area_{(Square)} =\: (25\: m \times 25\: m)\\[/tex]
[tex]\implies \sf\bold{Area_{(Square)} =\: 625\: m^2}\\[/tex]
Hence, the area of square is 625 m² .
[tex]\\[/tex]
Now, we have to find the area of a rectangle :
Given :
According to the question by using the formula we get,
[tex]\small \implies \sf\boxed{\bold{Area_{(Rectangle)} =\: Length \times Breadth}}\\[/tex]
[tex]\implies \sf Area_{(Rectangle)} =\: 20\: m \times 15\: m\\[/tex]
[tex]\implies \sf\bold{Area_{(Rectangle)} =\: 300\: m^2}\\[/tex]
Hence, the area of a rectangle is 300 m² .
[tex]\\[/tex]
Now, we have to find the area of garden :
Given :
According to the question by using the formula we get,
[tex]\small \implies \sf\boxed{\bold{Area_{(Garden)} =\: Area_{(Square)} - Area_{(Rectangle)}}}\\[/tex]
[tex]\implies \sf Area_{(Garden)} =\: 625\: m^2 - 300\: m^2\\[/tex]
[tex]\implies \sf\bold{Area_{(Garden)} =\: 325\: m^2}\\[/tex]
Hence, the area of garden is 325 m² .
[tex]\\[/tex]
Now, we have to find the total cost of developing a garden around the house :
Given :
According to the question by using the formula we get,
[tex]\small \dashrightarrow \sf\boxed{\bold{Total\: Cost =\: Area_{(Garden)} \times Cost_{(Garden)}}}\\[/tex]
[tex]\dashrightarrow \sf Total\: Cost =\: 325 \times 55\\[/tex]
[tex]\dashrightarrow \sf\bold{Total\: Cost =\: ₹\: 17875}\\[/tex]
[tex]\therefore[/tex] The total cost of developing a garden around the house is ₹ 17875 .