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quadrilateral cdef is a square. what is the value of a? e 3a - 47 f d a…

Question

quadrilateral cdef is a square. what is the value of a? e 3a - 47 f d a + 9 c a = save answer

Explanation:

Step1: Use the property of a square's sides

In a square, all sides are equal. So, \(3a - 47=a + 9\).

Step2: Solve the equation for \(a\)

Subtract \(a\) from both sides: \(3a-a-47=a - a+ 9\), which simplifies to \(2a-47 = 9\).
Add \(47\) to both sides: \(2a-47 + 47=9 + 47\), so \(2a=56\).
Divide both sides by \(2\): \(a=\frac{56}{2}\).

Answer:

\(28\)