Tips And Tricks And Shortcuts on Perimeter Area Volume Questions
August 12, 2023
Tips, Tricks and Shortcuts on Perimeter Area and Volume
The area is the space occupied by a shape of an object. The area of a figure is the number of unit squares that cover the surface of a closed figure, and Volume is calculated by the quantity of three-dimensional space enclosed by a closed surface.
Tips And Tricks And Shortcuts on Perimeter Area Volume:-
Here, are quick and easy tips and tricks for you on Perimeter, Area, and Volume. Learn, the tricks and concept on Perimeter, area and volume.
Type 1: Find the area, perimeter, length, breadth and some other sides of the shapes
Question 1: The ratio between the length and the breadth of a rectangular plot is 7:3. Rahul was cycling along the boundary of the plot at a speed of 10 km/hr. He completes one round of the plot in 6 minutes. Find the area of the plot?
Options:
A. 52000 m²
B. 51500 m²
C. 53500 m²
D. 52500 m²
Solution: Distance covered by Rahul in 6 minutes = \frac{10000}{60} × 6 = 1000 m
Therefore, perimeter = 1000m
Length = 7x and breadth = 3x
Then 2 (l +b) = 1000
2 (7x + 3x) = 1000
2 (10x) = 1000
20x = 1000
x = 50
Length = 7x = 7 * 50 = 350
Breadth = 3x = 3 * 50 = 150
Therefore, Area = l * b = 350 * 150 = 52500 m²
Correct option: D
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Percentage change in area = \frac{\frac{1}{5}lb}{lb} * 100
Percentage change in area = \frac{1}{5} * 100 = \frac{100}{5} = 20%
Since, the answer is positive, it means there is increase in the area.
Correct option: C
Type 4: How to solve cost related problems
Question 1 A wall of trapezium shape has height 8 m. The parallel sides of trapezium are 4 m and 6 m. If the rate of painting per square meter is Rs.50 than find the cost painting the complete wall?
Options:
A. Rs. 400
B. Rs. 420
C. Rs. 540
D. Rs. 450
Solution: Area of trapezium =\frac{1}{2} * (sum of parallel sides) * distance between them
Area of trapezium = \frac{1}{2} * (4 + 6) + 8
Area of trapezium = \frac{1}{2} * (18)
Area of trapezium = 9 square meter
Rate of painting per square meter is Rs.50
Therefore, to paint 9 square meter, total cost of painting = 9 * 50 = Rs. 450
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