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Two parallelograms P and Q stand on the same base of 20 cm and between the same two parallel lines 11 cm apart.
A student claims P has a larger area because its slant side looks longer.
What is the correct area of each, and is the student right?

Class 7Area of ParallelogramsPerimeter and Area
  • ABoth 220 sq cm; student is wrong
  • BP is 220, Q is 200; student is right
  • CBoth 110 sq cm; student is wrong
  • DP is 240, Q is 220; student is right

Step-by-Step Solution

On the same base and between the same parallels both have height 11 cm, so each area = sq cm; the student is wrong.
Answer: A) Both 220 sq cm; student is wrong

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