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The dimensions of rectangular sheet are 36 cm by 25 cm.

The Area of rectangular sheet = 36 × 25 = 900 sq.cm

From this sheet, 56 circular buttons are cut as shown,

Diameter of each circle = 3.5 cm

radius of each button, r = 1.75 cm

Area of one button = πr2

Area of each button = 9.625 sq.cm

Total area of buttons cut = area of each button × 56

Total Area of buttons = 539 sq. cm

Area of remaining sheet (area shaded with blue) = (Area of rectangular sheet) – (total area of buttons)

Req. area = 900 – 539 = 361 sq.cm

Area of the remaining sheet is 361 sq.cm

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