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A triangular banner has base 24 cm and height 15 cm. A parallelogram banner has base 18 cm and height 9 cm. By how much (in ) is the LARGER of the two areas greater than the smaller?

Class 7Perimeter and AreaPerimeter and Area
  • A18
  • B198
  • C36
  • D342

Step-by-Step Solution

Triangle = . Parallelogram = . The triangle is larger, and . Dropping the makes the triangle 360 and gives the trap 198; 342 is the sum of the two areas.
Answer: A) 18

Key idea: Triangle area

**Area of a triangle = ½ × base × height.**

The base is any side you choose; the height is the perpendicular distance from that base to the opposite vertex (NOT the slant length of another side). For a right triangle, the two legs that meet at the right angle ARE the base and height.

Example: triangle with base 6 cm and height 4 cm. Area = ½ × .

The perimeter of a triangle is just the sum of its three sides — no formula needed.

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