Quadrilateral ABCD is an isosceles trapezoid with AD parallel to CD. If AB= w+14 BC=2w+7. CD=4w+2. and AD= 3w-5. solve for w. (attachment below) A. 4 B. 12 C. 17 D. 31

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Quadrilateral ABCD is an isosceles trapezoid with AD parallel to CD. If AB= w+14 BC=2w+7. CD=4w+2. and AD= 3w-5. solve for w. (attachment below) A. 4 B. 12 C. 17 D. 31

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From the figure, it seems that the parallel sides are AB and CD. You wrote the parallel sides are AD and CD?
omg you're right I did

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and to be able to solve for w, you may have been given a perimeter..?
I'll fix it, thank you
|dw:1438562807749:dw|
No they didn't give me a perimeter either
An isosceles trapezoid has congruent legs (the non-parallel sides).
unless you use the idea that AD = BC so 3w - 5 = 2w + 7
|dw:1438562888396:dw|
We don't know anything about the lengths of sides AB and CD. We only know they are parallel. We do know sides AD and BC are congruent, so we can set their expressions equal and solve for w.
3w - 5 = 2w + 7 Can you solve for w?
Start by subtracting 2w from both sides. Then add 5 to both sides. What do you get for w?
1w= 2 ?
No. First, subtract 2w from both sides: 3w - 5 = 2w + 7 w - 5 = 7 Now add 5 to both sides: w = 12

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