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

Gujarat Board (GSEB) - STD 10 - Maths (GSEB - English Medium). 98 questions in this chapter.

Question types

Perimeter and Area of Plane Figures question types

98 questions across 5 question groups — pick any mix to generate a Maths paper with step-by-step answer keys.

98
Questions
5
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
Each side of an equilateral triangle is $6\sqrt3\text{cm}.$ The altitude of the triangle is:
  • A
    $8cm$
  • ✓
    $9cm$
  • C
    $3\sqrt3\text{cm}$
  • D
    $6cm$

Answer: B.

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Q 2M.C.Q (1 Marks)1 Mark
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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Q 3M.C.Q (1 Marks)1 Mark
The area of a rhombus is $480cm^2$ and the length of one of its diagonals is $20\ cm$. The length of each side of the rhombus is:
  • A
    $24cm$
     
  • B
    $30cm$
     
  • ✓
    $26cm$
     
  • D
    $28cm$

Answer: C.

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Q 4M.C.Q (1 Marks)1 Mark
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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Q 5M.C.Q (1 Marks)1 Mark
The area of an equilateral triangle is $4\sqrt3\text{cm}^2.$ Its perimeter is:
  • A
    $9\text{cm}$
  • ✓
    $12\text{cm}$
  • C
    $12\sqrt3\text{cm}$
  • D
    $6\sqrt3\text{cm}$

Answer: B.

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Q 102 Marks Questions2 Marks
The adjacent sides of a parallelogram are $36\ cm$ and $27\ cm$ in length. If the distance between the shorter sides is $12\ cm,$ find the distance between longer sides.
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Q 112 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, $6\ m$ 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 133 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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Q 143 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 184 Marks Questions4 Marks
Find the area and perimeter of an isosceles right-angled triangle, each of whose equal sides measures $10\ cm.$ $\big[\text{Given}:\sqrt{2}=1.41\big]$
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Q 194 Marks Questions4 Marks
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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Q 224 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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