What is the cost of tiling a rectangular plot of 500m long and 400m wide at rate of Rs 4 per hundred sq Metre?

What is the cost of tiling a rectangular plot of 500m long and 400m wide at rate of Rs 4 per hundred sq Metre?

What is the cost of tiling a rectangular plot of 500m long and 400m wide at rate of Rs 4 per hundred sq Metre?
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Question 9 Exercise 10.3

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What is the cost of tiling a rectangular plot of 500m long and 400m wide at rate of Rs 4 per hundred sq Metre?

Answer:

Solution:

Length of land = 500 m and Breadth of land = 200 m

Area of land = length x breadth = 500 m x 200 m = 1,00,000 m.sq

\because Cost of tilling 100 sq. m of land = Rs. 8

\therefore Cost of tilling 1,00,000 sq. m of land = = Rs. 8000

Video transcript

"hello guys welcome to elite homework today we are looking at question number five which is what is the cost of tiling a rectangular plot of land 500 meter long that is length is equal to 500 meter and 200 meter wide that is breadth is equal to 200 meter at the rate of rupees eight per hundred square kilometers per hundred kilometer square first of all let us find the area so area is length into breadth which will be given to us as 500 into 200 so let me erase this extra part so 500 into 200 will give you one zero and then add these four zeros the answer is uh it's a 100 000 that is one lakh so you have to find out how many hundred kilometer square this is kilometer square i'm sorry this is your meter square all right this is your meter squared and this is also meter squared right so i'm sorry yeah so the rate is given to us as rupees 8 per 100 square meter but we are getting it in one lakh so the 100 will remove and we'll see how much is left so 1 000 is left so these many hundreds are there so each of this will take rupees eight so total required is one thousand into eight so let me do it with blueprint so one thousand into eight will be your answer which is equal to eight thousand meter uh i'm sorry eight thousand rupees therefore the value of this is eight thousand rupees thank you so much guys for watching the video if you have any more doubts please post it in the comment section also please like the video and subscribe our channel thank you so much"

What is the cost of tiling a rectangular plot of 500m long and 400m wide at rate of Rs 4 per hundred sq Metre?
What is the cost of tiling a rectangular plot of 500m long and 400m wide at rate of Rs 4 per hundred sq Metre?

Answer

What is the cost of tiling a rectangular plot of 500m long and 400m wide at rate of Rs 4 per hundred sq Metre?
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Hint: In this question, we need to determine the cost of tiling a rectangular plot of land 500 meters long and 200 meters wide at the rate of Rs.8 per hundred square meters. For this, we will first evaluate the area of the plot and then, multiply the result with 8 to get the final result.

Complete step-by-step answer:

The product of the length and the width of the rectangle results in the area of the rectangle. Mathematically, $ A = lb $ where, ‘l’ is the length of the rectangle and ‘b’ is the width of the rectangle.

What is the cost of tiling a rectangular plot of 500m long and 400m wide at rate of Rs 4 per hundred sq Metre?

Here, the dimension of the rectangular plot has been given as 500 meters long and 200 meters wide. So, substitute ‘l=500 meters’ and ‘b=200 meters’ in the formula $ A = lb $ to determine the area of the rectangular plot. $ \Rightarrow A = lb \\    = 500 \times 200 \\    = 100000{\text{ }}{{\text{m}}^2} \\    = {10^5}{\text{ }}{{\text{m}}^2} \\   $ Hence, the area of the rectangular plot is $ {10^5}{\text{ }}{{\text{m}}^2} $ . Now, according to the question, the rate of tiling the rectangular plot is Rs.8 per hundred square meters, i.e., for tiling 100 square meters of the plot it will cost Rs.8. So, by using the unitary method to determine the total cost of tiling, the rectangular plot of land is: $   100{\text{ }}{{\text{m}}^2} = Rs.8 \\   1{\text{ }}{{\text{m}}^2} = Rs.\left( {\dfrac{8}{{100}}} \right) \\   {10^5}{\text{ }}{{\text{m}}^2} = Rs.\left( {\dfrac{8}{{100}}} \right) \times {10^5} \\    = Rs.8,000 \\    = Rs.8000  $ Hence, the total cost of tiling the rectangular plot of dimension (500 m x 200 m) is Rs.8000.

Note: As the tiles are located on the floor only so, we have evaluated the area of the base of the rectangular plot of land only. However, if in the question, it is mentioned that the tiles are located at any other positions then, we have to evaluate the area of that region and then, multiply it with the cost.


Last updated at Nov. 15, 2018 by Teachoo

What is the cost of tiling a rectangular plot of 500m long and 400m wide at rate of Rs 4 per hundred sq Metre?

What is the cost of tiling a rectangular plot of 500m long and 400m wide at rate of Rs 4 per hundred sq Metre?

Ex 10.3, 5 What is the cost of tiling a rectangular plot of land 500 m long and 200 m wide at the rate of Rs 8 per hundred sq m.? Here, we will tile the area of the rectangular plot So, finding area Length of rectangular plot = l = 500 m Breadth of rectangular plot = b = 200 m Area of rectangular plot = l × b = 500 × 200 = 1,00,000 sq. m Cost of tiling 100 sq. m = Rs 8 Cost of tiling 1 sq. m = Rs 8/100 Cost of tiling 1,00,000 sq. m = Rs 8/100 × 1,00,000 = Rs 8 × 1000 = Rs 8,000 ∴ It will cost Rs 8,000