The similar figures, parallelograms ▱QUAD and ▱STOP, have a ratio of 3:1 between their corresponding sides. If = 15, then to =

a0.

The similar figures, parallelograms ▱QUAD and ▱STOP, have a ratio of 3:1 between their corresponding sides. If = 10, then ad =
a0.

if ua=15

if op=10

FINALLY!

▱QUAD : ▱STOP = of 3:1
so,
if UA=15, UA:TO = 3:1 = 15:5 so TO= 5
If OP = 10, then AD:OP = 3:1 = 30:10, so AD = 30

To find the length of ad, we need to set up a proportion using the given ratios and lengths.

Given:
Ratio of corresponding sides: 3:1
Length of QP: 15

Let's set up the proportion:

(QP / QU) = (ad / ST)

Since the ratio of corresponding sides is 3:1, we can substitute the values:

(15 / QU) = (ad / ST)

Now we can solve for ad:

ad = (15 / QU) * ST

To find the value of ad, we need to have the length of ST. Unfortunately, the length of ST is not provided in the given information. Therefore, we cannot determine the value of ad without the length of ST.

For the second part:

Given:
Ratio of corresponding sides: 3:1
Length of QU: 10

Again, we need to set up a proportion to find the value of ad:

(QP / QU) = (ad / ST)

Substituting the values:

(15 / 10) = (ad / ST)

We can now solve for ad:

ad = (15 / 10) * ST

Unfortunately, the length of ST is not given, so we cannot determine the value of ad without this information.