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A contractor is quoting for four jobs. For which ONE of them must he work out the AREA of the region rather than its perimeter?

Class 7Perimeter and AreaPerimeter and Area
  • AWhitewashing the ceiling of a hall
  • BFixing a wire fence around a field
  • CStitching a lace border on a table cloth
  • DFitting wooden beading along the edge of a room

Step-by-Step Solution

Whitewashing COVERS a whole surface, so it is priced by area (in ). Fencing, lace borders and edge beading all follow a BOUNDARY, so they are priced by perimeter (in m). Quoting a boundary job by area is one of the most common exam slips.
Answer: A) Whitewashing the ceiling of a hall

Key idea: Parallelogram area

**Area of a parallelogram = base × height.**

Same idea as a rectangle, but the height is the perpendicular distance between the two parallel sides — NOT the slant length of the side. Pick any side as the base, drop a perpendicular to the opposite parallel side, measure that — that's the height.

Example: parallelogram with base 8 cm and perpendicular height 5 cm. Area = . The slant side could be longer; doesn't matter for area.

Perimeter of a parallelogram = 2 × (one side + adjacent side).

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