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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?

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 25 excep class=

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Answer:

x = 3

Step-by-step explanation:

Pentagon PQRST is a scale drawing of pentagon ABCDE.

Therefore, scale factor = [tex]\frac{\text{One side of pentagon PQRST}}{\text{One side of pentagon ABCDE}}[/tex]

                                       = [tex]\frac{QR}{BC}[/tex] Or [tex]\frac{SR}{DC}[/tex]

Ratio of the sides will be same,

[tex]\frac{QR}{BC}=\frac{SR}{DC}[/tex]

[tex]\frac{x}{6}=\frac{2.5}{5}[/tex]

x = [tex]\frac{6}{2}[/tex] ≈ 3

Therefore, x = 3 will be the answer.

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