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A square courtyard has side 15 m. It is plastered over its whole surface at ₹18 per square metre. Find the total cost of plastering.

Class 7Perimeter and AreaPerimeter and Area
  • A₹1080
  • B₹270
  • C₹4050
  • D₹8100

Step-by-Step Solution

Area = . Cost = 225 × ₹18 = ₹4050. Using the perimeter (60 m) instead of the area gives the trap ₹1080; using just the side length gives ₹270.
Answer: C) ₹4050

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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