Learn Class 7 Math - Perimeter and Area

The term perimeter refers to the coverage of the length of a figure from the outside. At the same time, the area is known as the object's surface. For different sets of figures, there are different formulas.

Different figures

Here, all different figures consist of different perimeters and areas. These are:

  • Square

    The perimeter of the square is 4a, and its area is a^2.

    Note: In the formula, a is the side of a square.

  • Rectangle

    The rectangle's perimeter is 2 (l + b), and its area equals l x b.

    Note: In the formula, l & b are the length and breadth of the square.

  • Circle

    The circle's perimeter is 2πr, and its area is equal to πr^2.

    Note: r is the radius of a circle, i.e., r = 2d (d = diameter)

  • Triangle

    The triangle's area is equal to ½ x b x h.

  • Parallelogram

    The parallelogram's area is b x h.

Units Conversion

To get the area and perimeter of a closed figure, we have to consider all figures in one unit. Only then do we have to apply the formula to get the results.

  • 1 cm = 10 mm
  • 1 m = 100 cm
  • 1 km = 1000 m
  • 1 hectare = 100 x 100 m

Learning Videos for 7th Grade Math - Perimeter and Area

Perimeter and Area Sample Questions for Class 7

Question 1

A circle has a radius of 8 cm. The area 56.60 square cm.
A. True
B. False

Question 2

Find the surface area of a cylinder with a radius of 1.4 cm and a height of 10 cm. Use 22//7 for pi.
A. 88 centimeters squared
B. 100.32 centimeters squared
C. 12.32 centimeters squared
D. 56.32 centimeters squared

Question 3

The trapezoid pictured has a height of 3 cm. The first base is 5 cm and the second base is 3 cm. What is the area?
A. 21 square centimeters
B. 12 square centimeters
C. 120 Square centimeters
D. 210 Square centimeters

Question 4

What is the circumference of of a circle if the area is 1,054?
A. 478.7
B. 115
C. 37
D. 2","014

Question 5

What is the circumference of of a circle if the area is 204?
A. 80.9
B. 50.6
C. 8.05
D. 200.4