Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

square c is a scaled copy of square b. what scale factor takes square b…

Question

square c is a scaled copy of square b.
what scale factor takes square b to square c?

Explanation:

Step1: Recall the formula for scale factor

The scale factor \(k\) from square \(B\) to square \(C\) is given by \(k=\frac{\text{side length of }C}{\text{side length of }B}\).

Step2: Substitute the values

The side - length of square \(B\) is \(7.5\) and the side - length of square \(C\) is \(10.5\). So, \(k = \frac{10.5}{7.5}\).

Step3: Simplify the fraction

\(k=\frac{10.5\div1.5}{7.5\div1.5}=\frac{7}{5}=1.4\)

Answer:

\(1.4\)