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 rectangular garden is 90 m long and 75 m broad. A path 5 m wide is to be built out around it. Find the area of the path.
  • A
    1600 \({{\text{m}}^{\text{2}}}\)
  • B
    1750 \({{\text{m}}^{\text{2}}}\)
    Correct
  • C
    1700 \({{\text{m}}^{\text{2}}}\)
  • D
    None of these
2
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. Also, find the perimeter of the rectangle.
  • A
    None of these
  • B
    178 cm
    Correct
  • C
    160 cm
  • D
    190 cm
3
Anand took a wire of length 44 cm and bent it into the shape of a circle. Find the radius of that circle. Also, find its area. If the same wire is bent into the shape of a square, what will be the length of each of its sides? Which figure encloses more area – the circle or the square?
  • A
    square
  • B
    None of these
  • C
    rectangle
  • D
    circle
    Correct
4
A rectangle’s length is (2x + 1) cm and its width is (2x – 1) cm. If its area is 15 \({\text{c}}{{\text{m}}^{\text{2}}}\), find the value of x?
  • A
    2 cm
    Correct
  • B
    3 cm
  • C
    5 cm
  • D
    4 cm
5
The length and breadth of a rectangular field is 10 cm and 6 cm respectively. What will be its area?
  • A
    60 \({\text{c}}{{\text{m}}^{\text{2}}}\)
    Correct
  • B
    80 \({\text{c}}{{\text{m}}^{\text{2}}}\)
  • C
    50 \({\text{c}}{{\text{m}}^{\text{2}}}\)
  • D
    70 \({\text{c}}{{\text{m}}^{\text{2}}}\)
6
Find the area of following triangle:
Question 6 figure 1
  • A
    9 \({\text{c}}{{\text{m}}^{\text{2}}}\)
  • B
    8 \({\text{c}}{{\text{m}}^{\text{2}}}\)
  • C
    7 \({\text{c}}{{\text{m}}^{\text{2}}}\)
  • D
    6 \({\text{c}}{{\text{m}}^{\text{2}}}\)
    Correct
7
Find the perimeter of the given figure.
Question 7 figure 1
  • A
    80 m
  • B
    None of these
  • C
    94 m
  • D
    86 m
    Correct
8
Perimeter of a regular polygon = ________ \( \times \) Length of each side
  • A
    Number of angles in the polygon
  • B
    None of these
  • C
    n
  • D
    Number of sides in the polygon
    Correct
9
The formula to find area of circle ________.
  • A
    \(\pi \)
  • B
    \({\text{2}}\pi r\)
  • C
    \(\pi {r^{\text{2}}}\)
    Correct
  • D
    \(\pi r\)
10
Find the perimeter of the given shape.
Question 10 figure 1
  • A
    44 cm
  • B
    None of these
  • C
    22 cm
  • D
    88 cm
    Correct
11
The length and breadth of a rectangle are 23 cm and 11 cm respectively. Find he area of the triangles formed by joining one of its diagonals.
  • A
    120 \({\text{c}}{{\text{m}}^{\text{2}}}\)
  • B
    None of these
  • C
    125 \({\text{c}}{{\text{m}}^{\text{2}}}\)
  • D
    126.5 \({\text{c}}{{\text{m}}^{\text{2}}}\)
    Correct
12
The two sides of the parallelogram ABCD are 6 cm and 4 cm. The height corresponding to the base CD is 3 cm, as shown in figure. Find the area of the parallelogram.
Question 12 figure 1
  • A
    18 \({\text{c}}{{\text{m}}^{\text{2}}}\)
    Correct
  • B
    20 \({\text{c}}{{\text{m}}^{\text{2}}}\)
  • C
    None of these
  • D
    15 \({\text{c}}{{\text{m}}^{\text{2}}}\)
13
The two sides of the parallelogram ABCD are 6 cm and 4 cm. The height corresponding to the base CD is 3 cm, as shown in figure. Find the height corresponding to the base AD.
Question 13 figure 1
  • A
    4.5 cm
    Correct
  • B
    7.5 cm
  • C
    None of these
  • D
    6 cm
14
If the radius of pipe is 1 cm , the circumference of pipe will be
  • A
    6.28 \({\text{c}}{{\text{m}}^{\text{2}}}\)
  • B
    62.8 cm
  • C
    6.28 cm
    Correct
  • D
    None of these
15
The circumference of a circle is
  • A
    \(\pi \)
  • B
    \(\pi {{\text{r}}^{\text{2}}}\)
  • C
    \({\text{2}}\pi {\text{r}}\)
    Correct
  • D
    None of these