Math, asked by sunamiengg922, 8 months ago

dear sir. plz explain the both question's. urgent​

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Answers

Answered by rutvik3737
0

side of tile are:20and40cm or 0.2 and 0.4 m

area of tiles=0.2×0.4=0.08m^2

area of floor=16×9=144

total tiles=144/0.08=1800 tiles

area of square=side^2

22050=side^2....(1)

and in traingle :side^2+side^2=diagonal^2

therefore 22050+22050=44100

diagonal=210

Hope it helps......

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Answered by MisterIncredible
15

1st Answer :

Given :

Measurements of the tile

Length = 20cm = 0.2 meters

breadth = 40cm = 0.4 meters

Measurements of the floor

Length = 16 meters

Breadth = 9 meters

Required to find :

  1. Number of tiles required

Solution :

The formula used for the conversion of centimetres into meters.

1 \: centimeter \:  =  \frac{1}{100} meters

Now , Let's solve this question ;

In the question it is given that;

Measurements of the floor

Length = 16 meters

Breadth = 9 meters

Hence, The shape of the floor is rectangle .

So,

Area of the floor = length × breadth

==> 16 meters × 9 meters

==> 144 meter^2

Now ,

Let's consider ;

Measurements of the tile

Length = 0.2 meters

breadth = 0.4 meters

Hence ,

The tile is in the shape of an rectangle.

So;

Area of the tile = length × breadth

==> 0.2 meters × 0.4 meters

==> 0.08 meter^2

Therefore;

No. of tiles will be required = Area of the floor / Area of a single tile

Hence ,

No. of tiles required = 144 / 0.08

===> 1,800 tiles .

Conclusion :

Hence , Option - C is correct

\rule{400}{4}

\rule{200}{2}

2nd Answer :

Given :

Area of the square = 22050 sq. cm

Required to find :

  1. Length of the diagonal

Solution :

In the question it is given that ;

Area of the square = 22050 sq. cm

Now we have to find the measurement of the side in order to find the length of Diagonal.

So, let the length of the side be " x " cm

Area of the square = side × side

x \times x = 22050 \\  {x}^{2}  = 22050 \\ x =  \sqrt{22050}  \\ x = 148.5 \: cm

Hence ,

Length of the side = 148.5 cm .

Now we have to use a small trick to find the length of the diagonal.

The trick is ;

(side {)}^{2}  + (side {)}^{2}  = (diagonal {)}^{2}

Using this above mentioned trick we can find the answer.

Let's substitute the values in it .

(148.5 {)}^{2}  + (148.5 {)}^{2}  = (diagonal {)}^{2}  \\  \\ 22052.25 + 22052.25 = (diagonal {)}^{2}  \\  \\  44104.5 = (diagonal {)}^{2}  \\  \\ (diagonal {)}^{2}  = 44104.5 \\  \\ diagonal  =  \sqrt{44104.5}  \\  \\ diagonal  = 210.0107 \\  \\ diagonal = 210(approximately)

Therefore,

Length of the diagonal = 210 cm

Conclusion

Hence , Correct option - d

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