- A117
- B99
- C13
- D26
Step-by-Step Solution
Area = length × breadth → 234 = 18 × b → b = 234 ÷ 18 = 13 m. Treating 234 as a PERIMETER (234 ÷ 2 − 18) gives the trap 99; halving the area gives 117.
Answer: C) 13
A rectangular carpet covers an area of . Its length is 18 m. Find its breadth (in m).
Class 7Perimeter and AreaPerimeter and Area
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).
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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