Question

the square on the right is a scaled copy of the square on the left. identify the scale factor. express your answer as a whole number or fraction in simplest form.
15 (left square side length), 30 (right square side length)
answer attempt 1 out of 2
submit answer

Explanation:

Step1: Recall scale factor formula

The scale factor from the original figure (left square) to the scaled copy (right square) is calculated by dividing the length of a side of the scaled copy by the length of the corresponding side of the original figure. Let the side length of the original square be \( s_1 = 15 \) and the side length of the scaled copy be \( s_2 = 30 \). The formula for scale factor \( k \) is \( k=\frac{s_2}{s_1} \).

Step2: Substitute values and calculate

Substitute \( s_1 = 15 \) and \( s_2 = 30 \) into the formula: \( k = \frac{30}{15} \). Simplifying the fraction \( \frac{30}{15} \), we divide both the numerator and the denominator by their greatest common divisor, which is 15. So \( \frac{30\div15}{15\div15}=\frac{2}{1} = 2 \).

Answer:

\( 2 \)