# The perimeter of a square is 12 cm and another square is 16 cm. find the perimeter of a square which is equal in area to these combined two squares?

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by dfbh

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by dfbh

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a1= side of square 1 = 12/4=3cm

perimeter of square 2 = 16cm

a2=side of square 2 = 16/4=4cm

The sum of the qareas of these two squares =

=

=9+16=25

the area of the larger square, is therefore,25

the side of the larger square=√25=5cm

The perimeter of the larger square=4*5=20cm

∴The perimeter of the required square is 20cm

S=3( length of first square)

4s=16

S=4(lenght of 2nd square)

When we both combine these 2 squares, add their side!! 4+3=7

Perimeter 4S

4*7=28