Question

5.
Devika has a square piece of cloth of area 9 m and she wants to make
16 square-shaped scarves of equal size out of it. What should possibly be the
length of the side of the scarf that can be made out of this piece?​

Answer 1

Step-by-step explanation:

Total area of original cloth is 9 m^2= 9*100*100 cm^2

Total no of scar is 16, area of each scar will be 90000/16 =5625 cm^2

Square root of 5625 is 75, hence length of each of scar is 75 cm.

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Answer 2

Answer:

3/4 m

Step-by-step explanation:

The area of a square cloth is = (side)^2

The area given is 9m^2

So by putting the value in the formula, we get,

(side)^2= 9

=> side=√9

=> side= 3m

So the length of the side of the square piece of cloth is 3m

Number of scarfs cut= 16

Shape of scarf is square,

So it's area would be (side)^2

Let the side of the scarf be X

Number of scarfs cut= 16

So, equation would be,

16(X^2)=9m

=>(x^2)=9/16

=>X=√(9/16)

=>X=3/4m