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Class 7 Area of Parallelograms — practice questions with answers

Perimeter and Area · 5 sample questions from the school syllabus. Try each one, then open the answer and the worked solution.

1. What is the formula for the area of a parallelogram?
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Answer: A) base x height
The area of a parallelogram = base x corresponding height.
2. Find the area of a parallelogram whose base is 25 m and height is 12 m.
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Answer: B) 300
Area = 25 x 12 = 300 sq m.
3. Ravi is painting a parallelogram-shaped signboard for his shop in Jaipur. The board has base 1.5 m and height 0.8 m.
He wants to know the total area he must paint.
What is the area of the signboard in square metres?
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Answer: C) 1.2
Area = base x height = 1.5 x 0.8 = 1.2 sq m.
4. 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?
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Answer: A) Both 220 sq cm; student is wrong
On the same base and between the same parallels both have height 11 cm, so each area = 20 x 11 = 220 sq cm; the student is wrong.
5. Two adjacent sides of a parallelogram are 13 cm and 26 cm.
The height corresponding to the 26 cm side is 5 cm.
Find the height corresponding to the 13 cm side.
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Answer: D) 10
Area = 26 x 5 = 130 sq cm. Height on 13 cm side = 130 / 13 = 10 cm.
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