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Hi, Diameter of semi circle is not stated and there is insufficient info in the question to determine it (unless you work backwards from the given answers to deduce that.)  Might be some info on the diagram was erased from exam paper. 

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(a)
perimeter of 8 identical semi-circles ——- 8 x (1/2) x 2 x (22/7) x 3.5 = 88
perimeter of entire table mat ——- (31 – 4 x 3.5) x 4 + 88  = 156

(b)
area of 4 identical semi-circles ——- 4 x (1/2) x (22/7) x 3.5 x 3.5 = 77
area of the shaded part ——- (31 x 31)/2 + 77 = 557.5

Ans : (a) 156 cm; (b) 557.5 sq cm.

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thanks. the answer as provided for (a) 156 cm  (b) 557.5 sq cm

just finding hard to work out the diameter of the circle..

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welcome; the diameter of each semi-circle works out to be 7cm. 🙂

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