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A 72 cm long wire is bent to form a rectangle whose length is twice its breadth. Find the LENGTH of that rectangle (in cm).

Class 7Perimeter and AreaPerimeter and Area
  • A12
  • B36
  • C48
  • D24

Step-by-Step Solution

The wire becomes the perimeter, so → . With → cm and cm. Answering 12 gives the BREADTH; 36 is only the half-perimeter.
Answer: D) 24

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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