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Perimeter and Area of Plane Figures Maths - Perimeter and Area of Plane Figures

Maharashtra Board - STD 10 - Maths (MSBSHSE - Semi English Medium). 98 questions in this chapter.

Question types

Perimeter and Area of Plane Figures question types

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

98
Questions
6
Question groups
5
Question types
Sample Questions

Perimeter and 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.

Q 1M.C.Q (1 Marks)1 Mark
One side of a rhombus is $20\ cm$ long and one of its diagonals measure $24\ cm$. The area of the rhombus is:
  • A
    $192\ cm^2$
  • B
    $480\ cm^2$
  • C
    $240\ cm^2$
  • ✓
    $384\ cm^2.$

Answer: D.

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Q 42 Marks Questions2 Marks
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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Q 52 Marks Questions2 Marks
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 $640\ m^2$​​​​​​​, find the depth of the canal.
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Q 73 Marks Question3 Marks
A lawn is in the from of a rectangle whose sides are in the ratio $5 : 3$ and its area is $3375\ m^2$. Find the cost of fencing the lawn at $₹ 20$ per meter.
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Q 83 Marks Question3 Marks
A rectangular park $35\ m$ long $18\ m$ wide is to be covered with grass, leaving $2.5\ m$ uncovered all around it. Find the area to be laid with grass.
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Q 124 Marks Questions4 Marks
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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Q 134 Marks Questions4 Marks
Find the length of the hypotenuse of an isosceles right-angled triangle whose area is $200\ cm^2.$ Also, find its perimeter. $\big[\text{Given}:\sqrt{2}=1.41\big]$
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Q 164 Marks Questions4 Marks
A room $4.9\ m$ long and $3.5\ m$ broad is covered with carpet, leaving an uncovered margin of $25\ cm$ all around the room. If the breadth of the carpet is $80\ cm,$ find its cost at $₹ 80$ per meter.
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Q 181 Marks Question1 Mark
On increasing the length of a rectangle by 20% and decreasing its breadth by 20%, what is the change in its area?
  1. 20% increase
  2. 20% decrease
  3. No change
  4. 4% dcrease.
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Q 191 Marks Question1 Mark
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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Q 201 Marks Question1 Mark
The side of an equilateral triangle is equal to the radius of a circle whose area is 154cm2. The area of the triangle is:
  1. $49\text{cm}^2$
  2. $\frac{49\sqrt3}{4}\text{cm}^2$
  3. $\frac{7\sqrt3}{4}\text{cm}^2$
  4. $77\text{cm}^2.$
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Q 235 Marks Question5 Marks
The adjacent sides of a parallelogram are $32\ cm$ and $24\ cm.$ If the distance between the longer sides is $17.4\ cm$, find hte distance between the shorter sides.
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Q 255 Marks Question5 Marks
The area of a rhombus is $480\ cm^2,$ and one of its diagonals measures 48cm.
Find:
  1. The length of the other diagonal.
  2. The length of each of its sides.
  3. Its perimeter.
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