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Differentiation Help!!

A piece of string which is 40 cm long is cut into two lengths. Each length is laid out to form a square. Given that the length of the sides of one of the squares is x, find expressions in terms of x for:

A. The length of the sides of the other square
B. The total area enclosed by the two squares.


Ans for A is 10-x and answer for B is ( x^2+ (10-x)^2)
Reply 1
Original post by sabi06
A piece of string which is 40 cm long is cut into two lengths. Each length is laid out to form a square. Given that the length of the sides of one of the squares is x, find expressions in terms of x for:

A. The length of the sides of the other square
B. The total area enclosed by the two squares.


Ans for A is 10-x and answer for B is ( x^2+ (10-x)^2)

These questions don't require differentiation.

One of the square lengths is x so it's perimeter is 4x which means there's (40-4x)cm of string left for the other square.

Can you carry on from here?
Reply 2
Original post by notnek
These questions don't require differentiation.

One of the square lengths is x so it's perimeter is 4x which means there's (40-4x)cm of string left for the other square.

Can you carry on from here?



I still didnt really get it actually
Reply 3
Original post by sabi06
I still didnt really get it actually


Your answers are correct
Reply 4
Original post by sabi06
I still didnt really get it actually

Which specific part don't you get?

Are the answers yours or are you trying to get to them?
Reply 5
Original post by notnek
Which specific part don't you get?

Are the answers yours or are you trying to get to them?



I am trying to get to them and that is really what i dont understand
Reply 6
Original post by sabi06
I am trying to get to them and that is really what i dont understand

It's hard to help you if I don't know where you're stuck.

One of the square lengths is x so it's perimeter is 4x which means there's (40-4x)cm of string left for the other square.

I posted this before. Can you say which part you don't understand?

A diagram might help you here. I'll draw one for you if you really can't get anywhere.
Reply 7
Original post by sabi06
I am trying to get to them and that is really what i dont understand


You know how to work out the perimeter of a square (I assume)

You know what the perimeter of the square with side x is (I hope)

You can take this away from the 40 (surely) so you know what is left for the second square

If you know the perimeter of a square you can find the length of each side (I assume)


So, what exactly are you stuck on?
Reply 8
Original post by notnek
It's hard to help you if I don't know where you're stuck.

One of the square lengths is x so it's perimeter is 4x which means there's (40-4x)cm of string left for the other square.

I posted this before. Can you say which part you don't understand?

A diagram might help you here. I'll draw one for you if you really can't get anywhere.

I dont understand why you divide 40-x by 4 to get 10-x
Reply 9
Original post by sabi06
I dont understand why you divide 40-x by 4 to get 10-x

The perimeter of the 2nd square is 40-x. It has four equal sides since it's a square so you need to divide by 4 to get the length of one side.

E.g. The perimeter of a square is 12 cm so the length of one side is 12 ÷ 4 = 3 cm.
Because the second square also has 4 sides.

String: 40
Sides of Sq 1 : x
Total 4x
Remaining string: 40-4x
Length of sides: 40-4x/4
Side length square 2: 10-x
Area Sq 2: (10-x)^2

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