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Class 8 Mathematics Chapter 7: Area — practice questions with answers

Free practice for Class 8 Mathematics, Chapter 7: Area. Try the solved questions below, then take a free test with instant marking and explanations.

45 questions16 easy, 20 medium, 9 hardNCERT · CBSE · State boards

Sample questions with solutions

Q1. Which rectangle needs more rangoli powder: 7 cm × 4 cm or 8 cm × 3 cm?
  1. 7 cm × 4 cm (28 cm² vs 24 cm²)
  2. 8 cm × 3 cm
  3. Both the same
  4. Cannot tell
Show answer
Answer: A. 7 cm × 4 cm (28 cm² vs 24 cm²)
Why: Count the unit squares. [p.149]
Q2. The diagonal of a 7 cm × 4 cm rectangle divides it into two triangles. What is the area (cm²) of each?
Show answer
Answer: 14 (± 0)
Why: ½ × 7 × 4 = 14 cm². [p.150]
Q3. What is the area of a triangle in terms of base and height?
  1. ½ × base × height
  2. base × height
  3. base + height
  4. 2 × base × height
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Answer: A. ½ × base × height
Why: The triangle is half of a rectangle with the same base and height. [p.154]
Q4. What is the area of a parallelogram?
  1. base × height
  2. ½ × base × height
  3. sum of sides
  4. side × side
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Answer: A. base × height
Why: Cut off a triangle and move it to form a rectangle. [p.161–162]
Q5. Find the area (cm²) of a parallelogram with base 7 cm and height 4 cm.
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Answer: 28 (± 0)
Why: 7 × 4 = 28 cm². [p.163]
Q6. Find the area (cm²) of a rhombus whose diagonals are 20 cm and 15 cm.
Show answer
Answer: 150 (± 0)
Why: ½ × 20 × 15 = 150 cm². [p.169]

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Frequently asked questions

How many practice questions are there for Class 8 Mathematics Chapter 7: Area?

45 questions (16 easy, 20 medium, 9 hard). A few are solved on this page; the free test shows the answer and explanation for every question after you submit.

Is this chapter from the NCERT book?

Yes — it follows the NCERT Class 8 Mathematics syllabus, used by CBSE and many state boards.

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