Question

Pentagon PQRST is a scale drawing of pentagon ABCDE.
All side lengths of pentagon ABCDE are 5 except side BC is 6. All side lengths of pentagon PQRST are 2.5 except side QR is labeled x.
What is the value of x?

Answer 1

Answer:

x = 3

Step-by-step explanation:

Pentagon PQRST is a scale drawing of pentagon ABCDE.

Therefore, scale factor = $\frac{\text{One side of pentagon PQRST}}{\text{One side of pentagon ABCDE}}$

                                       = $\frac{QR}{BC}$ Or $\frac{SR}{DC}$

Ratio of the sides will be same,

$\frac{QR}{BC}=\frac{SR}{DC}$

$\frac{x}{6}=\frac{2.5}{5}$

x = $\frac{6}{2}$ ≈ 3

Therefore, x = 3 will be the answer.