Question types

Perimeter and Areas of Plane Figures question types

130 questions across 4 question groups — pick any mix to generate a Maths paper with step-by-step answer keys.

130
Questions
4
Question groups
5
Question types
Sample Questions

Perimeter and Areas 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.

Each side of an equilateral triangle is $6\sqrt3\text{ cm}.$ The altitude of the triangle is :
  • A
    $8\ cm$
  • $9\ cm$
  • C
    $3\sqrt3\text{cm}$
  • D
    $6\ cm.$

Answer: B.

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On increasing the length of a rectangle by $20\%$ and decreasing its breadth by $20\%,$ what is the change in its area?
  • A
    $20\%$ increase
  • B
    $20\%$ decrease
  • C
    No change
  • $4\%$ dcrease.

Answer: D.

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The area of a rhombus is $480\ cm^2$ and the length of one of its diagonals is $20\ cm.$ The length of each side of the rhombus is:
  • A
    $24\ cm$
  • B
    $30\ cm$
  • $26\ cm$
  • D
    $28\ cm.$

Answer: C.

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The side of an equilateral triangle is equal to the radius of a circle whose area is $154\ cm^{2}$. The area of the triangle is :
  • A
    $49\text{ cm}^2$
  • $\frac{49\sqrt3}{4}\text{ cm}^2$
  • C
    $\frac{7\sqrt3}{4}\text{ cm}^2$
  • D
    $77\text{ cm}^2.$

Answer: B.

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The adjacent sides of a parallelogram are 36cm and 27cm in length. If the distance between the shorter sides is 12cm, find the distance between longer sides.
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The shape of the cross section of a canal is a trapezium. If the canal is $10\ m$ wide at the top, 6m wide at the bottom and the area of its cross section is $640m^2$​​​​​​​, find the depth of the canal.
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Q 113 Marks Question3 Marks
A lawn is in the from of a rectangle whose sides are in the ratio 5 : 3 and its area is $3375m^2$​​​​​​​. Find the cost of fencing the lawn at ₹ 20 per meter.
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Find the area and perimeter of an isosceles right-angled triangle, each of whose equal sides measures 10cm. $\big[\text{Given}:\sqrt{2}=1.41\big]$
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Find the length of the hypotenuse of an isosceles right-angled triangle whose area is $200cm^2$. Also, find its perimeter. $\big[\text{Given}:\sqrt{2}=1.41\big]$
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A room 4.9m long and 3.5m broad is covered with carpet, leaving an uncovered margin of 25cm all around the room. If the breadth of the carpet is 80cm, find its cost at ₹ 80 per meter.
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