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A machine part is made by cutting a small square from the centre of a large square piece of
steel.
The dimensions of the machine part are shown on the diagram.
All measurements are in cm.
3x + 4
+ 4
3
+ 4
The perimeter of the small square is two thirds of the perimeter of the large square.
Work out the length of a side of the small square.​

A machine part is made by cutting a small square from the centre of a large square piece ofsteelThe dimensions of the machine part are shown on the diagramAll m class=

Respuesta :

sqdancefan

Answer:

  5 1/3 cm

Step-by-step explanation:

If the perimeter of the small square is 2/3 of the perimeter of the large square, then the sides have that same ratio:

  (x +4) = 2/3(3x +4)

 x +4 = 2x +8/3

  4/3 = x . . . . . . . subtract (x+8/3)

Then the side length of the small square is ...

  4/3 +4 = 5 1/3 . . . cm

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