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The perimeter of a rectangular kitchen slab is 26 and its breadth is 5 . Find its area (in ).

Class 7Perimeter and AreaPerimeter and Area
  • A65
  • B130
  • C40
  • D105

Step-by-Step Solution

Half-perimeter = 26 ÷ 2 = 13 m, so length + breadth = 13 and length = 13 − 5 = 8 m. Area = . Using the half-perimeter 13 as the length gives the trap 65; using 26 − 5 = 21 as the length gives 105.
Answer: C) 40

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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