Areas
Kerala Board · Class 9 · Mathematics
Flashcards for Areas — Kerala Board Class 9 Mathematics. Quick Q&A cards covering key concepts, definitions, and formulas.
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Find the area of a rectangle with length 12 cm and breadth 8 cm.
Answer
Formula: Area = length × breadth Step 1: Identify values → length = 12 cm, breadth = 8 cm Step 2: Apply formula → Area = 12 × 8 = 96 cm² Answer: 96 cm²…
A parallelogram has base 15 cm and height 9 cm. Calculate its area.
Answer
Formula: Area of parallelogram = base × height Step 1: Identify values → base = 15 cm, height = 9 cm Step 2: Apply formula → Area = 15 × 9 = 135 cm² Note: Height is the perpendicular distance between …
Find the area of a triangle with base 10 cm and height 6 cm.
Answer
Formula: Area of triangle = ½ × base × height Step 1: Identify values → base = 10 cm, height = 6 cm Step 2: Apply formula → Area = ½ × 10 × 6 = ½ × 60 = 30 cm² Answer: 30 cm²…
A rhombus has diagonals of length 16 cm and 12 cm. Find its area.
Answer
Formula: Area of rhombus = ½ × d₁ × d₂ Step 1: Identify diagonal lengths → d₁ = 16 cm, d₂ = 12 cm Step 2: Apply formula → Area = ½ × 16 × 12 = ½ × 192 = 96 cm² Answer: 96 cm²…
Calculate the area of a trapezium with parallel sides 14 cm and 10 cm, and height 8 cm.
Answer
Formula: Area of trapezium = ½ × (sum of parallel sides) × height Step 1: Identify values → parallel sides = 14 cm, 10 cm; height = 8 cm Step 2: Sum of parallel sides = 14 + 10 = 24 cm Step 3: Apply f…
In triangle ABC, median AD divides the triangle. If area of triangle ABC is 60 cm², find the area of triangle ABD.
Answer
Property: A median divides a triangle into two triangles of equal areas Step 1: Identify total area → Area of △ABC = 60 cm² Step 2: Apply median property → △ABD and △ACD have equal areas Step 3: Calcu…
Two parallelograms ABCD and PQRS lie on the same base and between the same parallels. If area of ABCD is 84 cm², find area of PQRS.
Answer
Property: Parallelograms on same base and between same parallels have equal areas Step 1: Identify given area → Area of ABCD = 84 cm² Step 2: Apply property → Since both parallelograms are on same bas…
Find the area of a square field whose perimeter is 80 meters.
Answer
Step 1: Find side length from perimeter Perimeter of square = 4 × side 80 = 4 × side → side = 80 ÷ 4 = 20 m Step 2: Calculate area Area of square = side² = 20² = 400 m² Answer: 400 m²…
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Sources & Official References
- Kerala Board of Public Examinations — keralapareekshabhavan.in
- National Education Policy 2020 — education.gov.in
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