Question

hexagon g is a scaled copy of hexagon f.
what is the value of h?

Explanation:

Step1: Convert mixed numbers to improper fractions

$1\frac{1}{4}=\frac{1\times4 + 1}{4}=\frac{5}{4}$, $2\frac{1}{2}=\frac{2\times2+1}{2}=\frac{5}{2}$

Step2: Find the scale factor

Since hexagon $G$ is a scaled - copy of hexagon $F$, the scale factor $k=\frac{\text{corresponding side of }G}{\text{corresponding side of }F}$. The scale factor $k=\frac{\frac{5}{2}}{\frac{5}{4}}=\frac{5}{2}\times\frac{4}{5} = 2$

Step3: Calculate the value of $h$

We know that $h$ is a side of hexagon $G$ and the corresponding side of hexagon $F$ is $\frac{9}{10}$. Using the formula $h=\text{corresponding side of }F\times k$. So $h=\frac{9}{10}\times2=\frac{9}{5} = 1\frac{4}{5}$

Answer:

$1\frac{4}{5}$