In the square ABCD, e is any point on the diagonal BD. if the circumference of the square ABCD is For m, find the perimeter of the quadrilateral EFCG

∵ ABCD is a square ∵ AB = BC = CD = ad = m / 4 ∠ C = 90 °∵ BD is the diagonal of the square ∵ BDC = ∠ DBC = 45 ∵ EF ⊥ BC, i.e. ∵ EFB = ∠ EFC = 90 ∵ bef = ∠ EBF = ∠ DBC = 45 ∵ BFE is an isosceles right triangle ∵ BF = EF ∵ eg ⊥ CD, i.e. ∵ EGD = ∠ EGC = 90 ∵ DEG = ∠ EDG

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