Calculating Tape Length for Board Sides
The problem requires finding the total length of tape needed to cover all four sides of a rectangular board. This is equivalent to calculating the perimeter of the rectangle.
Given Dimensions
- Length of the board, \(L = 12\) cm
- Breadth of the board, \(B = 3\) cm
Perimeter Calculation
The tape needs to cover all four sides, so the required tape length is the perimeter of the rectangle. The formula for the perimeter \(P\) of a rectangle is:
\(P = 2 \times (L + B)\)
Substitute the given values into the formula:
\(P = 2 \times (12 \text{ cm} + 3 \text{ cm})\)
First, calculate the sum of the length and breadth:
\(P = 2 \times (15 \text{ cm})\)
Now, multiply by 2 to find the total perimeter:
\(P = 30 \text{ cm}\)
Conclusion
The tape should be 30 cm long to cover all four sides of the board.
Similar Questions
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Important Questions from 2-D Mensuration
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Find its perimeter, when $x = 1$ and $y = -1$. - The ratio between the perimeter and breadth of a rectangle is 3: 1. If the area of the rectangle is $98 \text{ cm}^2$, find the perimeter (in cm) of the rectangle.
The shorter side of a rectangle is 15 cm less than the longer side. The numerical value of its area is equal to 5 times the numerical value of its perimeter. What is the length (in cm) of its longer side?
- In a circle of radius 10.5 cm, if the angle of a sector is $\frac{2\pi}{3}$, then the perimeter of the sector is (in cm):
(Take $\pi = \frac{22}{7}$) - Find the circumference (in m) of the largest circle that can be inscribed in a rectangle whose dimensions are given as 114 m and 63 m.
Take $\pi = \frac{22}{7}$
