Class 7 Perimeter And Area CBSE Questions & Answers

Class 7 · Perimeter And Area

This is Mathematics Class 7 Perimeter and Area CBSE Questions & Answers. There are 15 questions in this test with each question having around four answer choices.

Questions & Answers

1
A steel wire when bent in the form of a square, encloses an area of 121 sq. cm. The same wire is bent in the form of a circle. Find the area of the circle.
  • A
    141 \({\text{c}}{{\text{m}}^{\text{2}}}\)
  • B
    None of these
  • C
    121 \({\text{c}}{{\text{m}}^{\text{2}}}\)
  • D
    154 \({\text{c}}{{\text{m}}^{\text{2}}}\)
    Correct
2
If the perimeter of a semicircular protractor is 36 cm, find the diameter.
  • A
    \(\frac{{72}}{\pi }\)
    Correct
  • B
    None of these
  • C
    72
  • D
    \(\frac{{36}}{\pi }\)
3
A bicycle wheel makes 5000 revolutions in moving 11 km. Find the diameter of the wheel.
  • A
    140 cm
  • B
    35 cm
  • C
    70 cm
    Correct
  • D
    None of these
4
The diameter of the wheels of a bus is 140 cm. How many revolutions per minute must a wheel make in order to move at a speed of 66 km/hr?
  • A
    270
  • B
    250
    Correct
  • C
    None of these
  • D
    240
5
The perimeter of regular polygon is
  • A
    None of these
  • B
    no. of sides + lengths of one side
  • C
    no. of sides - lengths of one side
  • D
    no. of sides \( \times \) lengths of one side
    Correct
6
A wire is in the shape of a square of side 10 cm. If the wire is rebent into a rectangle of length 12 cm, find its breadth.
  • A
    \(\frac{3}{8}\)
  • B
    \(\frac{{ - 5}}{8}\)
  • C
    \(\frac{{ - 3}}{8}\)
    Correct
  • D
    None of these
7
A paper is in the form of a rectangle ABCD in which AB = 18 cm and BC = 14 cm. A semicircular portion with BC as diameter is cut off. Find the area of the remaining paper (see in below figure).
Question 7 figure 1
  • A
    175 \({\text{c}}{{\text{m}}^{\text{2}}}\)
    Correct
  • B
    100 \({\text{c}}{{\text{m}}^{\text{2}}}\)
  • C
    150 \({\text{c}}{{\text{m}}^{\text{2}}}\)
  • D
    125 \({\text{c}}{{\text{m}}^{\text{2}}}\)
8
Find the area of the shaded region in the below figure. Take \(\pi \) = 3.14
Question 8 figure 1
  • A
    72 \({\text{c}}{{\text{m}}^{\text{2}}}\)
    Correct
  • B
    70 \({\text{c}}{{\text{m}}^{\text{2}}}\)
  • C
    80 \({\text{c}}{{\text{m}}^{\text{2}}}\)
  • D
    75 \({\text{c}}{{\text{m}}^{\text{2}}}\)
9
The perimeter of parallelogram PQRS is:
Question 9 figure 1
  • A
    38 cm
    Correct
  • B
    28 cm
  • C
    30 cm
  • D
    40 cm
10
The area of a square and a rectangle are equal. If the side of the square is 40 cm and the breadth of the rectangle is 25 cm, find the length of the rectangle.
  • A
    64 cm
    Correct
  • B
    None of these
  • C
    62 cm
  • D
    60 cm
11
If the area of the rectangle is 105 \({\text{c}}{{\text{m}}^{\text{2}}}\). Its length is (4x – 5) cm and breadth is (2x – 5) cm, find the perimeter?
  • A
    None of these
  • B
    44 cm
    Correct
  • C
    55 cm
  • D
    66 cm
12
A field has four square corners as shown in the figure. Find the perimeter excluding the square corners.
Question 12 figure 1
  • A
    300 m
  • B
    106 m
  • C
    405 m
  • D
    206 m
    Correct
13
How many times a wheel of radius 28 cm must rotate to go 352 m?
  • A
    300
  • B
    400
  • C
    100
  • D
    200
    Correct
14
A rectangle has a length that is 2 less than 3 times the width. If the area of the rectangle is 16 \({\text{c}}{{\text{m}}^{\text{2}}}\), find the dimensions.
  • A
    Length = 6 cm, width = 4 cm
  • B
    Length = 6 cm, width = 3 cm
  • C
    Length = 6 cm, width = 5 cm
  • D
    Length = 6 cm, width = \(2\frac{2}{3}cm\)
    Correct
15
\({\text{1 }}{{\text{m}}^{\text{2}}} = {\text{ }}\_\_\_\_\_\_\_\_{\text{ c}}{{\text{m}}^{\text{2}}}\)
  • A
    200
  • B
    10000
  • C
    100
    Correct
  • D
    150