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RD Sharma Solutions Class 8 Mathematics Solutions for Area of Trapezium and Polygon Exercise 20.1 in Chapter 20 - Area of Trapezium and Polygon
Question 1 Area of Trapezium and Polygon Exercise 20.1
A flooring tile has the shape of a parallelogram whose base is 24 cm and the corresponding height is 10 cm. How many such tiles are required to cover a floor of area 1080 m2?
Answer:
Given that,
Base of parallelogram = 24cm Height of parallelogram = 10cm Area of floor = 1080m2
We know that,
Area of parallelogram = Base × Height Area of 1 tile = 24 × 10 = 240cm2
We know that, 1m = 100cm
So for 1080m2 = 1080 × 100 × 100 cm2
To calculate the Number of tiles required = Area of floor/Area of 1 tile i.e., Number of tiles required = (1080 × 100 × 100) / (24 × 10) = 45000
∴ Number of tiles required = 45000
Video transcript
hello students i am rita your maths leader tutor and the today's question is a fluorine tie has the shape of a parallelogram whose base is 24 centimeter and the corresponding height is 10 centimeter how many such tiles are required to cover a floor of area 1080 meters square first of all we draw a figure of a parallelogram okay so this is a parallelogram okay and the side of the parallelograms are a b c and t and the height of the parallelogram is this so this is the height of the parallelogram okay now the base is given to us 24 centimeter this is 24 centimeter and the height is 10 centimeter okay so this is a shape of one time which is parallelogram so as we know the area of parallelogram first of all we find the area of one type because we know the because we know the floor of area is 1080 meter square so first of all we have to find the area of one time then to find the number of tiles we divided the complete area by the area of one type so now we start the question first of all we find the area of one type area of one type as we know the tile is in the shape of parallelogram so the formula of terminology is base into height so base is 24 centimeter and the height is 10 centimeter so we get the area of 1 time 240 centimeter square this is the area of 1 but in cushion we have to find how many times so the number of tiles is equal to total area divided by area of one type okay divided by area of one that then we get the number of times so total area is given to us 1080 meter square divided by area of one time 240 centimeter square so first of all we convert one meter uh one meter square into 100 into centimeter so as we know one meter is equal to 100 centimeter one meter is equal to 100 centimeters so we convert the complete area into centimeter so 1080 it's a meter square so we multiplied by 2 times 100 into 100 okay now it becomes in centimeter square divided by 240 centimeter square so units cancel out each other and 0 0 cancel out okay now we cancel out these it means 4 6 are 24 4 2 8 4 7's are 28 again we cancel out 3 2 6 and 3 nines and two ones are two two fives are ten zero so when we multiply nine into fifty five ninths of forty five so the number of times is forty 45 000. so this is our answer i hope you like this video so please subscribe the video channel for more updates do comment your questions thank you
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