Question

Find PT length use other shape to help

Answer 1

Answer:

32

Step-by-step explanation:

The two shapes are similar, meaning the side lengths are scaled proportionally.  If you rotate the second shape to have both shapes facing in the same direction, you will see GK is corresponding with side QR. GK is 4 and it becomes 32 when scaled by 8. Side PT is corresponding with HI. Because side HI is equal to 4, using the knowledge above we know side PT is equal to 32.

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Answer 2

Answer:

$PT=32$

Step-by-step explanation:

GHIJK ~ QPTSR means that: pentagon GHIJK is similar to pentagon QPTSR

With this information, we see that we will have to use proportions to find PT

GH ~ QP =  $\frac{3}{24}$

HI ~ PT =  $\frac{4}{x}$

IJ ~ TS =  $\frac{x}{56}$

JK ~ SR =  $\frac{x}{40}$

KG ~ RQ = $\frac{4}{32}$

Another way to find PT is by using the proportion scale of 8

We will use 8 because GH ~ QP =  $\frac{24}{3}$ = 8 and KG ~ RQ = $\frac{32}{4}$ = 8

So we multiply 4 and 8 to get 32