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The perimeter of two squares is 12 cm and 24 cm. The area of the bigger square is how many times that of the Smaller?

A) 2 times
B) 3 times
C) 4 times
D) 5 times

Correct Answer:



C) 4 times

Description for Correct answer:
We know that,

Perimeter of square = \( \Large 4\times Side \)

= \( \Large 4\times a \) = 12

=> a = 3

Area of smaller square

= \( \Large 3\times 3=9 cm^{2} \) ...(i)

Now, \( \Large 4\times b \) = 24

=> b = 6

Area of bigger square

= \( \Large 6\times 6=36 cm^{2}=4\times 9 cm^{2} \)

= \( \Large 4\times Area \) of smaller square [from Eq. (ii]

Heance area of bigger square is 4 times that of smaller square

Part of solved Area and perimeter questions and answers : >> Elementary Mathematics >> Area and perimeter

Comments

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