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A rectangular garden measures 30 by 20 . A gravel path 2 wide is laid all around it on the OUTSIDE. Find the area of the path (in ).

Class 7Perimeter and AreaPerimeter and Area
  • A104
  • B216
  • C200
  • D816

Step-by-Step Solution

The path adds 2 m on BOTH sides of each dimension, so the outer rectangle is . Garden = . Path . Adding the width only once gives the trap 104; multiplying the garden perimeter by the width misses the four corner squares.
Answer: B) 216

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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