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:
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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.
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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.
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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)
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Triangle
The triangle's area is equal to ½ x b x h.
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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
The base and height of the triangle are in ratio 2:5. The area of triangle is 180 m². What is the measure of height of a triangle?
A. 30 m
B. 20 m
C. 12 m
D. 15 m
Question 2
The radius of a wheel is 1.96 m. How many revolutions will it make in travelling 24.64 km?
A. 100
B. 200
C. 150
D. 250
Question 3
The area of rectangle is 340 m². The length is 1700 cm. How much will be the cost of wire required to fence it ,at the rate of ₹2.9/ m?
A. ₹680
B. ₹214.6
C. ₹58
D. ₹175.5
Question 4
What is the circumference of a circle whose diameter is 0.98m ?
A. 410 cm
B. 308 cm
C. 260 cm
D. 290 cm
Question 5
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