The force of attraction between two magnets is inversely proportional to the square of the distance between them. when the magnets are r cm apart, the force of the attraction between is f newtons (n). if the distance between the magnets is increased by 400%, the force of magnets between them becomes cf n . find the value of c.

The force of attraction between 2 magnets is inversely proportional to it's distance squared.

That means

so when the magnets are 4 times apart the resultant force is divided 8 times.

So,

We can see here C=1/8.

area of rectangle a is 2 times that of rectangle b that means 2x+x =   36cm^2

3x = 36cm ^2

x = 36/3

x= 12cm^2

and 2x = 24cm^2

now side of square = are divided by sides = 36/4 = 6cm

that means length of rectangle a and b is 6cm too

now for rectangle a,

l*b = area

= 6*y=24

y=24/6 = 4

therefore dimensions of rectangle a are- length = 6cm, breadth = 4cm

and for rectangle b, length = 6cm and breadth = 6-4 = 2cm.

hope this .

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