The equation 46 = 2 a + 2 b gives the relationship between the side lengths a and b of

Question

The equation 46 = 2 a + 2 b gives the relationship between the side lengths a and b of a certain parallelogram. If a = 9 , what is the value of b ?

Accepted Answer

The correct answer is 14 . It's given that the equation 46 = 2 a + 2 b gives the relationship between the side lengths a and b of a certain parallelogram. Substituting 9 for a in the given equation yields 46 = 2 9 + 2 b , or 46 = 18 + 2 b . Subtracting 18 from both sides of this equation yields 28 = 2 b . Dividing both sides of this equation by 2 yields 14 = b . Therefore, if a = 9 , the value of b is 14 .

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