Question types

Perimeter and Area [NEW] question types

18 questions across 3 question groups — pick any mix to generate a MATHS paper with step-by-step answer keys.

18
Questions
3
Question groups
5
Question types
Sample Questions

Perimeter and Area [NEW] questions

One sample from each question group in this chapter. Select any group above to see the full set with answer keys.

The cost of putting a fence around a square field at ₹ 25 per metre is ₹ 2000. The length of each side of the field is
  • A
    80 m
  • B
    40 m
  • 20 m
  • D
    none of these

Answer: C.

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The length of the diagonal of a square is 20 cm. Its area is
HINT : Area of a square $=\frac{1}{2} d^2$.
  • A
    $400~cm^2$
  • $200~cm^2$
  • C
    $300~cm^2$
  • D
    $100 \sqrt{2}~cm^2$

Answer: B.

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Assertion (A): The circumference of a circle of radius $r$ is equal to $2 \pi r$.
Reason (R): The ratio of the circumference and the diameter of a circle is equal to π.
  • Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).
  • B
    Both Assertion (A) and Reason (R) are true and Reason (R) is not the correct explanation of Assertion (A).
  • C
    Assertion (A) is true but Reason (R) is false.
  • D
    Assertion (A) is false but Reason (R) is true.

Answer: A.

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Assertion (A): The cost of fencing a rectangular plot of land of length 24 m at 100 per metre is 6400. The length and breadth of the rectangular plot are in the ratio 4 : 1.
Reason (R): The perimeter of a rectangle of length $l$ and breadth b is equal to 2($l$ + b).
  • A
    Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).
  • B
    Both Assertion (A) and Reason (R) are true and Reason (R) is not the correct explanation of Assertion (A).
  • C
    Assertion (A) is true but Reason (R) is false.
  • Assertion (A) is false but Reason (R) is true.

Answer: D.

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Vijay purchased a farmland having length 120 m and breadth 80 m. He wished to put a fence of wire to prevent the stray animals from entering his land.
1. What is the area of the farmland ?
(a) 400 m2$\quad$(b) 9600 m2$\quad$(c) 1600 m2$\quad$(d) 4800 m2
2. What is the perimeter of the farmland ?
(a) 200 m$\quad$(b) 720 m$\quad$(c) 400 m$\quad$(d) 960 m
3. Find the cost of fencing the farmland at 15 per metre.
(a) ₹ 10800$\quad$(b) ₹ 7200$\quad$(c) ₹ 9600$\quad$(d) ₹ 6000
4. Vijay wanted to construct a house on $\frac{1}{4}$ th area of the farmland. Find the cost of tilling the remaining area at ₹2 per sq m.
(a) ₹ 7200$\quad$(b) ₹ 14400$\quad$(c) ₹ 16800$\quad$(d) ₹ 8400
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