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
Perimeter and Area Sample Questions for Class 7
Question 1
Each diagonal of a square is 14 cm long. What is area of a square?
A. 120 cm²
B. 98 cm²
C. 196 cm²
D. None of the above
Question 2
The area of a square is 50 cm². What is measure of its diagonal?
A. 5 cm
B. 12 cm
C. 10 cm
D. None of the above
Question 3
On increasing each side of square by 10 % , the area of square will increase by ______.
A. 21%
B. 10%
C. 32%
D. 15%
Question 4
The perimeters of a rectangle and a square is equal.
The length of the rectangle is 5 more than side of a square.The perimeter of square is 100 cm. What is breadth of the rectangle?
A. 25 cm
B. 30 cm
C. 20 cm
D. 15 cm
Question 5
The area of the triangle is 5600 cm², its height is 1.4m, what is measure of its base?
A. 80 m
B. 0.8 m
C. 0.9 m
D. 90 m