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A window is a rectangle 2 wide and 1.5 tall with a semicircle on top whose diameter is the 2 width. Find the total area of glass in the window. Use π = 3.14 (answer in , to 2 decimal places).

Class 7Perimeter and AreaPerimeter and Area
  • A6.14
  • B9.28
  • C4.57
  • D3.00

Step-by-Step Solution

Rectangle = . The semicircle has diameter 2 m, so radius 1 m, and area = . Total . Forgetting to halve the circle gives 6.14; using 2 m as the radius gives 9.28.
Answer: C) 4.57

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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