Answer:
The length of smaller square is 5 inches.
Step-by-step explanation:
As we know that,
Area of square = Side × Side
Let the length of smaller square be "a".
and, Let the length of larger square be "b".
Also it is given that,
[tex]\frac{Area of Smaller Square}{Area of Larger Square} = \frac{1}{4} [/tex]
⇒ [tex]\frac{a^{2}}{b^{2}} = \frac{1}{4} [/tex]
⇒ [tex]\frac{a^{2}}{400} = \frac{1}{4} [/tex]
⇒ [tex]a^{2} = \frac{400}{4} [/tex]
⇒ a² = 100
⇒ a = 10
Hence, Length of smaller square is 10 inches.
