State whether the following statements are true (T) or false (F):

(i) Centimetre is the unit of area.

(ii) The sum of lengths of a polygon is called its area.

(iii) If the side of a square is doubled, then its perimeter is also doubled.

(iv) If the side of a square is doubled, then its area is also doubled.

(v) To find the cost of constructing a road, we find its area.

(vi) To find the cost of fencing a field, we find its perimeter.

(i) False. Centimetre is the unit of length, not area. Area is measured in square centimetres (sq. cm).

(ii) False. The sum of lengths of the sides of a polygon is called its perimeter, not its area.

(iii) True. If side = s, then original perimeter = 4s. If side is doubled (i.e., 2s), then new perimeter = 4(2s) = 8s = 2 × 4s. So, perimeter is also doubled.

(iv) False. If side = s, then original area = s². If side is doubled (i.e., 2s), then new area = (2s)² = 4s². So, area becomes four times, not double.

(v) True. Construction of a road covers its surface, so we find its area.

(vi) True. Fencing is done along the boundary, so we find the perimeter.