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In parallelogram ABCD below, AB = 8x, BC = 4x + 3 and DA = 2x + 8. Find the length of AB

User Vampire
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Final answer:

By using the properties of parallelograms and solving a simple equation, we determine that the length of AB in parallelogram ABCD is 16 units.

Step-by-step explanation:

To find the length of AB in parallelogram ABCD, we need to use the properties of a parallelogram that opposite sides are equal. Thus, AB equals DA. We are given that AB = 8x and DA = 2x + 8. To find the value of x, we can set 8x equal to 2x + 8 and solve for x:

8x = 2x + 8

Now, subtract 2x from both sides:

6x = 8

Divide both sides by 6:

x = ⅔

Now that we have the value of x, we can calculate the length of AB:

AB = 8x = 8(⅔) = 16

User Tom Wells
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