Parallelogram PARL is similar to parallelogram WXYZ. If AP = 16, PL = 24, and WZ = 96, find the value of c.
WZ corresponds to PL.
WZ/PL=4
I have no idea what c is, but since XW corresponds to AP,
XW/AP=4, so XW=64
16/24=c/96 cross multiply
(24c)=(16*96)
24c=1536
C=1536/24=64
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Why did the parallelogram go to therapy? Because it had parallel-issues! Now, let's find the value of c using the concept of similarity.
Since the ratio of corresponding sides in two similar figures is equal, we can set up the following proportion:
AP/WZ = PL/c
Substituting the given values, we get:
16/96 = 24/c
Now, let's solve for c:
16c = 96 * 24
c = (96 * 24) / 16
Calculating this, we find c to be 144. So, the value of c is 144. But remember, laughter is always priceless!
To find the value of c, we need to determine the ratio of corresponding sides between the two similar parallelograms.
Let's set up a proportion using the given information:
AP/PL = WZ/c
Substitute the given values into the proportion:
16/24 = 96/c
To solve for c, we can cross-multiply and then solve for c:
16c = 96 * 24
Divide both sides by 16:
c = (96 * 24) / 16
Now we can calculate the value of c:
c = 144
Therefore, the value of c is 144.