Area — Class 8 MCQs with Answers
Class 8 CBSE Mathematics · Chapter 14
72 practice questions · 24 Easy · 24 Medium · 24 Hard · Updated
Practise the most important Class 8 CBSE Mathematics questions from Chapter 14, "Area". You get 9 timed quizzes made from 72 NCERT-based MCQs, with answers and explanations. The questions are split into 24 Easy, 24 Medium and 24 Hard. Warm up on the basics, then move on to the exam-level questions that top scorers in CBSE Board exams get right.
To score well in "Area", focus on fast problem-solving, formula recall and step-by-step working. Each MCQ here is timed and uses exam-style marking (+4 correct, −1 wrong, 0 skipped). This helps you stay accurate when time is short, just as real papers need. Every question has a short explanation, so a wrong answer becomes a quick lesson. It is the fastest way to fix gaps before a test.
Use this chapter for focused revision. Start with the Easy set to check your basics on Area, then move to Medium and Hard to practise applying them. Your accuracy, streaks and XP save automatically. This chapter also adds to your overall Class 8 Mathematics mastery score. 14 sample questions are solved in full below, with the answer and a worked explanation. Sign in free to start practising.
Area — important questions & MCQs with answers (Class 8 Mathematics)
14 solved questions from this chapter's difficulty levels, each with its answer and explanation.
- Q1Easy
The area of a rectangle is:
A.length + breadthB.2(length + breadth)C.½ × length × breadthD.length × breadth✓ CorrectAnswer: D. length × breadth
Explanation: Area of a rectangle is the product of its two sides: length × breadth. It is not 2(length + breadth) — that formula finds the perimeter, not the area.
- Q2Easy
The area of a triangle is:
A.½ × base × height✓ CorrectB.base × heightC.base + heightD.2 × base × heightAnswer: A. ½ × base × height
Explanation: Area of a triangle = ½ × base × height. Skipping the ½ (giving base × height) instead finds the area of a parallelogram with the same base and height.
- Q3Easy
The area of a trapezium is:
A.½ × (sum of parallel sides) × height✓ CorrectB.base × heightC.½ × base × heightD.side²Answer: A. ½ × (sum of parallel sides) × height
Explanation: Area of a trapezium = ½ × (sum of the parallel sides) × height. Using just one side or dropping the ½ gives the wrong formula for a different shape.
- Q4Easy
The area of a square of side s is:
A.4sB.s²✓ CorrectC.2sD.s³Answer: B. s²
Explanation: Squaring the side means multiplying it by itself: s × s = s². It is not 4s — that adds up all four sides to give the perimeter, not the area.
- Q5Easy
The area of a parallelogram is:
A.½ × base × heightB.4 × sideC.base × height✓ CorrectD.base + heightAnswer: C. base × height
Explanation: Area of a parallelogram = base × height, with no ½ factor. The ½ × base × height formula belongs to a triangle, not a parallelogram.
- Q6Easy
The area of a rhombus in terms of its diagonals is:
A.d₁ × d₂B.½ × (d₁ + d₂)C.4 × sideD.½ × d₁ × d₂✓ CorrectAnswer: D. ½ × d₁ × d₂
Explanation: Area of a rhombus = ½ × (product of its diagonals). Multiplying the diagonals without the ½, d₁ × d₂, overcounts the area by double.
- Q7Medium
A rectangle has area 48 cm² and length 8 cm. Its breadth is:
A.40 cmB.6 cm✓ CorrectC.384 cmD.12 cmAnswer: B. 6 cm
Explanation: Breadth = area ÷ length = 48 ÷ 8 = 6 cm. Dividing area by length undoes the multiplication used to find area; multiplying instead (48 × 8) would be backwards.
- Q8Medium
A triangle has area 30 cm² and base 10 cm. Its height is:
A.3 cmB.20 cmC.6 cm✓ CorrectD.300 cmAnswer: C. 6 cm
Explanation: From ½ × 10 × h = 30, first get 10 × h = 60, so h = 6 cm. Solving 10 × h = 30 directly, as if the ½ were not already there, would wrongly give h = 3 cm.
- Q9Medium
A trapezium has area 40 cm² and parallel sides 6 cm and 10 cm. Its height is:
A.2.5 cmB.10 cmC.4 cmD.5 cm✓ CorrectAnswer: D. 5 cm
Explanation: ½ × (6 + 10) × h = 40 gives 8 × h = 40, so h = 5 cm. Using only one parallel side instead of their sum would give a different, wrong height.
- Q10Medium
An L-shaped figure splits into two rectangles of area 20 cm² and 12 cm². Its total area is:
A.8 cm²B.32 cm²✓ CorrectC.240 cm²D.16 cm²Answer: B. 32 cm²
Explanation: When a figure splits into non-overlapping rectangles, their areas simply add: 20 + 12 = 32 cm².
- Q11Medium
A square has area 81 cm². Its side is:
A.9 cm✓ CorrectB.81 cmC.40.5 cmD.18 cmAnswer: A. 9 cm
Explanation: Side = √81 = 9 cm, since 9 × 9 = 81. Halving the area (81 ÷ 2 = 40.5) does not undo squaring — you need a square root.
- Q12Hard
A square and a rectangle both have perimeter 24 cm; the rectangle is 8 cm by 4 cm. Which has the larger area?
A.the rectangle, 32 cm²B.the square, 36 cm²✓ CorrectC.they are equalD.the rectangle, 40 cm²Answer: B. the square, 36 cm²
Explanation: A perimeter of 24 cm gives the square a side of 24 ÷ 4 = 6 cm and area 6 × 6 = 36 cm², beating the rectangle's 8 × 4 = 32 cm² — for a fixed perimeter, a square encloses the most area.
- Q13Hard
A parallelogram and a triangle share base 8 cm and height 6 cm. The parallelogram's area exceeds the triangle's by:
A.0 cm²B.24 cm²✓ CorrectC.48 cm²D.12 cm²Answer: B. 24 cm²
Explanation: Parallelogram area = 8 × 6 = 48 cm², triangle area = ½ × 8 × 6 = 24 cm² — same base and height, so the parallelogram is exactly double, a difference of 24 cm².
- Q14Hard
A rhombus has side 5 cm and one diagonal 6 cm. Its area is:
A.30 cm²B.15 cm²C.40 cm²D.24 cm²✓ CorrectAnswer: D. 24 cm²
Explanation: Half of the known diagonal is 3 cm; by the Pythagorean theorem the other half-diagonal is √(5² − 3²) = 4 cm, so that diagonal is 8 cm and area = ½ × 6 × 8 = 24 cm².
Key concepts: Area (Class 8 Mathematics)
This chapter measures the space inside flat shapes. Area is counted in square units, and each shape has its own formula: a rectangle is length × breadth, a square is side², a triangle is half base × height, and a parallelogram is base × height. A trapezium uses half the sum of its parallel sides times the height, and a rhombus uses half the product of its diagonals. You also find areas of composite figures by splitting or subtracting, and apply all this to tiling, painting and field problems.
- Area
- The amount of surface a flat shape covers, measured in square units such as cm² or m²; it is different from perimeter, which is the distance around the shape.
- Area of a rectangle
- Length × breadth. A 5 cm by 3 cm rectangle covers 15 cm²; swapping length and breadth does not change the area.
- Area of a square
- Side × side = side². A square of side 7 cm has area 49 cm², and from a known area the side is the square root of it.
- Area of a triangle
- ½ × base × height, where the height is measured perpendicular to the chosen base. A base of 10 cm and height 8 cm gives 40 cm².
- Base and height
- The height must be the perpendicular distance from the base to the opposite vertex (or side), not a slanting length.
- Area of a parallelogram
- Base × height. A parallelogram and a rectangle with the same base and height have the same area.
- Area of a trapezium
- ½ × (sum of the two parallel sides) × height; add the parallel sides first, then halve and multiply by the height.
- Area of a rhombus
- ½ × (product of the diagonals), since the diagonals cut the rhombus into four right triangles.
- Composite figures
- Find the area of an irregular shape by splitting it into rectangles and triangles and adding, or by subtracting a cut-out from a larger shape.
- Area versus perimeter
- Perimeter is the distance around a shape (ordinary units); area is the space inside it (square units) — two different measures.
- Scaling and area
- When every length of a figure is multiplied by a factor k, its area is multiplied by k², so doubling the sides makes the area 4 times as big.
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Start this chapter free →Area — FAQs
What are the key concepts in Class 8 Mathematics Area?+
This chapter measures the space inside flat shapes. Area is counted in square units, and each shape has its own formula: a rectangle is length × breadth, a square is side², a triangle is half base × height, and a parallelogram is base × height. A trapezium uses half the sum of its parallel sides times the height, and a rhombus uses half the product of its diagonals. You also find areas of composite figures by splitting or subtracting, and apply all this to tiling, painting and field problems. Key ideas include Area, Area of a rectangle, Area of a square, Area of a triangle, Base and height, Area of a parallelogram.
What does Class 8 Mathematics Chapter 14 (Area) cover on XamBaaz?+
It has 72 NCERT-based MCQs on "Area": 24 Easy, 24 Medium and 24 Hard. Together they make 9 timed quizzes, and you never get the same set twice. Every question has an instant explanation. They help you prepare for CBSE Board exams.
Are these "Area" questions free to practise?+
Yes. Sign in with Google to practise "Area" free. Full unlimited access is ₹999/year. One year from the day you pay. You stay in Class 8 till 31 March; on 1 April your account moves up to Class 9 and the rest of your year carries over. No chapter is charged separately.
How should I revise "Area" for the exam?+
Start with the Easy quiz to check your basics, then try Medium and Hard to practise applying them. There are 9 timed quizzes on this chapter, so you can come back for a fresh set instead of one you have seen. Read each explanation, retry the questions you miss, and track your accuracy until it stays high.
Are these "Area" MCQs available with answers?+
Yes. 14 sample questions are shown here in full, each with the correct option and a step-by-step "Why" explanation. Sign in free with Google to start practising, with instant scoring.
Is there negative marking in the "Area" quizzes?+
Yes. The timed quizzes use exam-style marking: +4 for a right answer, −1 for a wrong one and 0 for a skip. MHT-CET and CBSE board papers have no negative marking. Our mocks for those are scored their way.
What are the important questions from Area (Class 8 Mathematics)?+
The questions that matter most test Area, Area of a rectangle, Area of a square, Area of a triangle, Base and height, Area of a parallelogram. This page shows 14 solved important MCQs with answers and explanations. Sign in to practise all 72 questions on the chapter as timed quizzes.
Is there an online quiz for Area?+
Yes — Class 8 Mathematics Area has timed online quizzes at Easy, Medium and Hard levels, with instant scoring and a worked explanation on every question. The first quiz on the chapter is free.