The perimeter of two squares are 24 cm and 32 cm. The pe rimeter (in cm) of a third square equal in area to the sum of the areas of these squares is :

Explanation:

Side of square, whose perimeter is 24 cm

=24\4=6cm

So, area of square = 2

=36cm^2

Again, side of square, whose perimeter is 32 cm

=32\4=8cm

So, area of this square

=8^2=64cm^2

According to question,

Area of new square

=64+36=100cm^2

∴ side of the new square =√100=10cm

Hence perimeter of new square

=10×4=40cm