Question types

Perimeter & Area of Plane Figures question types

133 questions across 6 question groups — pick any mix to generate a MATHS paper with step-by-step answer keys.

133
Questions
6
Question groups
5
Question types
Sample Questions

Perimeter & Area of Plane Figures questions

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

A wire when bent in the form of a square encloses an area of $756.25 cm^2$. If the same wire is bent to form a semi-circle, what will be the radius of the semi-circle so formed?
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Q 12[3 marks sum]3 Marks
Find the perimeter and area of the adjoining figure, it being given that $AB \| CD , AB =12 cm, CD =15 cm$, $BD =4 cm$ and one end of the figure is a semi-circle with BD as diameter. (Take $\pi=3.14$.)
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Q 15[3 marks sum]3 Marks
Find the area of pentagon PQRST in which $QD \perp PR , RE \perp PS$ and $TF \perp PS$ such that $PR =10 cm, PS =12 cm, QD =3 cm$, $RE =7 cm$ and $TF =5 cm$.
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Q 23MCQ1 Mark
A rectangle has 15 cm as its length and $150 cm^2$ as its area. Its area is increased to $1 \frac{1}{3}$ times the original area by increasing only its length. Its new perimeter is
  • A
    50 cm
  • 60 cm
  • C
    70 cm
  • D
    80 cm

Answer: B.

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Q 24MCQ1 Mark
A 5 m wide lawn is cultivated all along the outside of a rectangular plot measuring 90 m $\times$ 40 m. The total area of the lawn is
  • A
    $1200 m^2$
  • B
    $1300 m^2$
  • C
    $1350 m^2$
  • $1400 m^2$

Answer: D.

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Q 25MCQ1 Mark
A rectangular lawn 60 metres by 40 metres has two roads each 5 metres wide running in the middle of it, one parallel to length and the other parallel to breadth. The cost of gravelling the roads at ₹ 60 per sq metre is
  • A
    ₹ 25000
  • B
    ₹ 28000
  • ₹ 28500
  • D
    ₹ 30000

Answer: C.

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Q 26MCQ1 Mark
A hall 40 m long and 15 m broad is to be paved with stones, each measuring 6 dm by 5 dm. The number of stones required is
  • A
    1000
  • 2000
  • C
    2500
  • D
    3000

Answer: B.

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Q 27MCQ1 Mark
Around a rectangular garden of length $10 m$ and width $5 m$, a road $1 m$ wide is laid. The cost of cementing the road at ₹ 200 per $m ^2$ is
  • A
    ₹ 3400
  • B
    ₹ 6000
  • ₹ 6800
  • D
    ₹ 13200

Answer: C.

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