The problemThe involves problem involves determining the perimeter of the larger square ($P_1$) based on the given information. Here's how we can solve it:

Information from the image:

1. The smaller square has a side length of $1 \, \text{mm}$ and a perimeter (P_2 = 4 , two \ similartext squares{,mm one}\ larger). and2 one. smaller The. larger The square labeled has sides a are side corresponding length. of Let's ( solve4 this \ step, by \ steptext:

{###mm Key}\ Details),: and1 its. perimeter ** (SmallP square_:1** \ ) - Side length = ( 1 , \ needstext{mm} to \ be) calculated .

• Perimeter ((### P_2 \ Step)) = (-by 4 , -steptext{ solutionmm: }The \ perimeter) (as given: $4 \times of a1$).

square2 is. Large square calculated:

• Side length = $4 \, \text{mm}$.
• The using task the formula is to: find\ its[ perimeter (\P = (4 P _1times \ ))text{.

side### length} Formula for\ the]

PerFor theimeter of larger square a Square: : The[ P perimeter of_1 a = square is calculated4 \ as: times $4P = = 16 4 \ \,times \text \{text{mm} side length$

}. ### Final Answer: ]

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Solution:

[ ForP the_1 larger square =: \ [ 16 \P,_ \1text ={ mm4} \ \times ]

Let me4 = know if16 you'd \ like, more explanation \text or{ havemm further}. questions]

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Final### Answer:

The perimeter of Additional the larger Questions square:

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the Tip same ratio:

.For similar shapes, the ratio of their perimeters is the same as the ratio of their corresponding side lengths!