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Chapter 2: Problem 20

A square has sides that measure 5 inches. The square is then divided in half vertically and horizontally, creating 4 smaller squares. What would the total perimeter of the 4 smaller squares be (in inches)? A. 5 B. 6.25 C. 25 D. 40

Short Answer

Expert verified
The total perimeter of the 4 smaller squares is 40 inches (Option D).

Step by step solution

01

Find the side length of the smaller squares

The side length of the larger square is 5 inches. To find the side length of the smaller squares, divide the side length of the larger square by 2: Side length of smaller square = \( \frac{5}{2} \) inches = 2.5 inches
02

Find the perimeter of one smaller square

The perimeter of a square is given by 4 times the length of one side. So, the perimeter of one smaller square is: Perimeter of smaller square = 4 × 2.5 inches = 10 inches
03

Find the total perimeter of the 4 smaller squares

Now that we know the perimeter of one smaller square, we can find the total perimeter of the 4 smaller squares by multiplying the perimeter of one smaller square by 4: Total perimeter of 4 smaller squares = 4 × 10 inches = 40 inches Therefore, the correct answer is D. 40.

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