How will the perimeter and area of a square with a side of 4 cm change if its sides are doubled?

First you need to calculate the perimeter and area of the square initially with a side of 4 cm.
We get:
1) Perimeter
P = 4cm + 4cm + 4cm + 4cm = 16cm.
2) Area
S = 4cm * 4cm = 16cm.
Now we double the sides 4cm * 2 = 8cm side length.
1) Perimeter
P = 8cm + 8cm + 8cm + 8cm = 32cm.
2) Area
S = 8cm * 8cm = 64cm.
Now we compare how the perimeter and area have changed, for this we compare their values.
1) 32 cm more than 16 cm 2 times. The perimeter has doubled
2) 64 cm more than 32 cm 2 times. The area has doubled



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