The perimeter of a square is 12 cm and that of another is 16 cm. The side of a square whose area is equal to the sum of the areas of the above two squares would be

A) 4 cm

B) 5 cm

C) 5.5 m

D) 6 cm.

Correct answer:
B) 5 cm

Description for Correct answer:

Perimeter of first square = 12 cm.

Therefor, Its side = \( \Large \frac{12}{4}=3\ cm \)

Therefore, Its area = \( \Large 3^{2} = 9\ sq.cm. \)

Perimeter of second square = 16 cm

Therefore, Its side = \( \Large \frac{16}{4} = 4\ cm \)

Therefore, Its area = \( \Large 4^{2} = 16\ sq.cm. \)

Therefore, Area of new square = 9 + 16 = 25 sq. cm

Its side = \( \Large \sqrt{25} = 5\ cm \)



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