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A skating rink is a rectangle 40 m long and 14 m wide with a semicircle attached at EACH of the two 14 m ends. Find the distance once around the outside of the rink. Use π = (answer in m).

Class 7Perimeter and AreaPerimeter and Area
  • A152
  • B124
  • C102
  • D80

Step-by-Step Solution

The two semicircular ends (each of diameter 14 m, so radius 7 m) together make one complete circle: m. Add the two straight 40 m sides: 80 + 44 = 124 m. The two 14 m ends are inside the figure, not on its boundary — counting them gives the trap 152 m; using only one arc gives 102 m.
Answer: B) 124

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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