Mensuration
ICSE · Class 7 · Mathematics
Flashcards for Mensuration — ICSE Class 7 Mathematics. Quick Q&A cards covering key concepts, definitions, and formulas.
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Solve: A rectangle has length 230 m and breadth 85 m. Find its perimeter.
Answer
Step 1: Use the perimeter formula: P = 2(l + b) Step 2: Substitute the values: P = 2(230 + 85) Step 3: Add inside the bracket: P = 2(315) Step 4: Multiply: P = 630 m Answer: 630 m…
Solve: The perimeter of a rectangle is 80 cm and its breadth is 18 cm. Find its length.
Answer
Step 1: Use the formula for length from perimeter: l = P/2 - b Step 2: Substitute the values: l = 80/2 - 18 Step 3: Calculate: l = 40 - 18 Step 4: Find the result: l = 22 cm Answer: 22 cm…
Solve: The length and breadth of a rectangle are 40 m and 30 m. Find its perimeter and the side of a square with the same perimeter.
Answer
Step 1: Find the rectangle perimeter: P = 2(l + b) Step 2: Substitute: P = 2(40 + 30) = 2(70) = 140 m Step 3: For a square, P = 4s Step 4: Substitute: 140 = 4s Step 5: Divide by 4: s = 35 m Answer: Re…
Solve: A wire of length 400 m is bent into a square. Find the side of the square.
Answer
Step 1: The wire length becomes the perimeter of the square Step 2: Use P = 4s Step 3: Substitute: 400 = 4s Step 4: Divide by 4: s = 100 m Answer: 100 m…
Solve: A circle has radius 14 cm. Find its circumference. Use π = 22/7.
Answer
Step 1: Use the circumference formula: Circumference = 2πr Step 2: Substitute: Circumference = 2 × (22/7) × 14 Step 3: Simplify: 14/7 = 2 Step 4: Calculate: 2 × 22 × 2 = 88 cm Answer: 88 cm…
Solve: The circumference of a circle is 440 cm. Find its radius and diameter. Use π = 22/7.
Answer
Step 1: Use Circumference = 2πr Step 2: Substitute: 440 = 2 × (22/7) × r Step 3: Simplify: 440 = (44/7)r Step 4: Multiply both sides by 7: 3080 = 44r Step 5: Divide by 44: r = 70 cm Step 6: Diameter =…
Solve: A rectangle has length 15 m and diagonal 17 m. Find its breadth and perimeter.
Answer
Step 1: Use the diagonal relation: diagonal² = length² + breadth² Step 2: Substitute: 17² = 15² + b² Step 3: Calculate: 289 = 225 + b² Step 4: Subtract: b² = 64 Step 5: Take square root: b = 8 m Step …
Solve: A square has diagonal 12√2 cm. Find its perimeter.
Answer
Step 1: Use diagonal = side × √2 Step 2: Substitute: 12√2 = s√2 Step 3: Divide by √2: s = 12 cm Step 4: Find perimeter: P = 4s = 4 × 12 = 48 cm Answer: 48 cm…
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