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ITMC 2018 Grade 5 National Preliminary set01 Question 26

ITMC · ITMC 2018 Grade 5 National Preliminary set01

Question 26

Answer-format rule: round a non-integer answer to the nearest integer. If the calculated answer has more than five digits, give its last five digits.

ABCD is a square. E and F lie on BC and AD respectively, forming rectangle ABEF. G and H lie on AB and EF respectively, forming square AGHF. The perimeters of AGHF and ABEF are 25 and 61 respectively. Find the perimeter of ABCD.