Question

quadrilateral e is a scaled copy of quadrilateral d. what is the value of f?

Explanation:

Step1: Find the scale - factor

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

Step2: Calculate the value of $f$

We know that the side of length 20 in quadrilateral D corresponds to the side of length $f$ in quadrilateral E. Using the scale - factor, we have $f = 20\times k$. Substituting $k=\frac{5}{4}$, we get $f=20\times\frac{5}{4}=25$.

Answer:

25