Question

parallelogram b is a scaled copy of parallelogram a. what is the value of c?

Explanation:

Step1: Find the scale - factor

Since parallelogram B is a scaled - copy of parallelogram A, the ratio of the corresponding sides is the same. Let the scale - factor be $k$. We can find $k$ by comparing the vertical sides. The vertical side of parallelogram A is $5.6$ and the vertical side of parallelogram B is $4.2$. So, $k=\frac{4.2}{5.6}=\frac{3}{4}$.

Step2: Calculate the value of $c$

The horizontal side of parallelogram A is $2$. To find the horizontal side $c$ of parallelogram B, we multiply the horizontal side of parallelogram A by the scale - factor. So, $c = 2\times k$. Substituting $k=\frac{3}{4}$, we get $c=2\times\frac{3}{4}=\frac{3}{2}=1.5$.

Answer:

$1.5$