Question

quadrilateral h is a scaled copy of quadrilateral g. what is the value of /?

Explanation:

Step1: Find the scale - factor

Since the two quadrilaterals are scaled copies, the ratios of corresponding sides are equal. Let's find the scale - factor by comparing two corresponding sides. We can use the sides of length 40 and 32. The scale - factor $k=\frac{32}{40}=\frac{4}{5}$.

Step2: Calculate the value of $l$

We know that the side of length 45 in quadrilateral $G$ corresponds to side $l$ in quadrilateral $H$. Using the scale - factor, we have $l = 45\times\frac{4}{5}$.
$l=\frac{45\times4}{5}=36$.

Answer:

36