Find The Perimeter Of A Tablet PC If The Length Is 241.7 Mm And The Width Is 7 Mm. Write Your Answer In Centimeters. Round Your Answer To The Nearest Centimeter.

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Introduction

In mathematics, the perimeter of a shape is the total distance around its edges. In this article, we will find the perimeter of a tablet PC given its length and width. We will use the formula for the perimeter of a rectangle, which is P = 2(l + w), where P is the perimeter, l is the length, and w is the width.

Understanding the Problem

The problem states that the length of the tablet PC is 241.7 mm and the width is 7 mm. We need to find the perimeter of the tablet PC in centimeters. To do this, we will first convert the length and width from millimeters to centimeters.

Converting Millimeters to Centimeters

There are 10 millimeters in 1 centimeter. To convert millimeters to centimeters, we can divide the number of millimeters by 10.

  • Length (l) = 241.7 mm
  • Width (w) = 7 mm

To convert the length and width from millimeters to centimeters, we can divide them by 10.

  • Length (l) = 241.7 mm / 10 = 24.17 cm
  • Width (w) = 7 mm / 10 = 0.7 cm

Finding the Perimeter

Now that we have the length and width in centimeters, we can use the formula for the perimeter of a rectangle to find the perimeter of the tablet PC.

P = 2(l + w)

Substituting the values of l and w, we get:

P = 2(24.17 + 0.7) P = 2(24.87) P = 49.74

Rounding the Answer

The problem asks us to round the answer to the nearest centimeter. To do this, we can look at the decimal part of the answer. If the decimal part is less than 0.5, we round down. If the decimal part is 0.5 or greater, we round up.

In this case, the decimal part of the answer is 0.74, which is greater than 0.5. Therefore, we round up to the nearest centimeter.

P = 50 cm

Conclusion

In this article, we found the perimeter of a tablet PC given its length and width. We converted the length and width from millimeters to centimeters and used the formula for the perimeter of a rectangle to find the perimeter. We then rounded the answer to the nearest centimeter.

Perimeter Formula

The perimeter of a rectangle can be found using the formula:

P = 2(l + w)

Where P is the perimeter, l is the length, and w is the width.

Example

Find the perimeter of a rectangle with a length of 15 cm and a width of 8 cm.

P = 2(15 + 8) P = 2(23) P = 46 cm

Tips and Tricks

  • Make sure to convert the length and width from the same unit to the same unit before finding the perimeter.
  • Use the formula for the perimeter of a rectangle to find the perimeter of a rectangle.
  • Round the answer to the nearest centimeter if necessary.

Common Mistakes

  • Failing to convert the length and width from the same unit to the same unit before finding the perimeter.
  • Using the wrong formula to find the perimeter.
  • Not rounding the answer to the nearest centimeter if necessary.

Real-World Applications

Finding the perimeter of a rectangle has many real-world applications. For example, it can be used to find the amount of fencing needed to enclose a rectangular garden or to find the length of a rectangular room.

Conclusion

Q: What is the perimeter of a rectangle?

A: The perimeter of a rectangle is the total distance around its edges. It is calculated by adding up the lengths of all four sides.

Q: What is the formula for finding the perimeter of a rectangle?

A: The formula for finding the perimeter of a rectangle is P = 2(l + w), where P is the perimeter, l is the length, and w is the width.

Q: How do I convert millimeters to centimeters?

A: To convert millimeters to centimeters, you can divide the number of millimeters by 10. For example, 241.7 mm is equal to 24.17 cm.

Q: What if the length and width are given in different units?

A: If the length and width are given in different units, you need to convert them to the same unit before finding the perimeter. For example, if the length is given in centimeters and the width is given in millimeters, you need to convert the width to centimeters.

Q: Can I use the perimeter formula to find the area of a rectangle?

A: No, the perimeter formula is used to find the perimeter of a rectangle, not the area. The area of a rectangle is found using the formula A = l × w, where A is the area, l is the length, and w is the width.

Q: What if I have a rectangle with a length of 10 cm and a width of 5 cm? How do I find the perimeter?

A: To find the perimeter of a rectangle with a length of 10 cm and a width of 5 cm, you can use the formula P = 2(l + w). Substituting the values, you get P = 2(10 + 5) = 2(15) = 30 cm.

Q: Can I use the perimeter formula to find the perimeter of a square?

A: Yes, the perimeter formula can be used to find the perimeter of a square. Since a square has all sides equal, you can use the formula P = 4s, where P is the perimeter and s is the length of one side.

Q: What if I have a rectangle with a length of 20 cm and a width of 10 cm? How do I find the perimeter?

A: To find the perimeter of a rectangle with a length of 20 cm and a width of 10 cm, you can use the formula P = 2(l + w). Substituting the values, you get P = 2(20 + 10) = 2(30) = 60 cm.

Q: Can I use the perimeter formula to find the perimeter of a rectangle with a length of 15 cm and a width of 8 cm?

A: Yes, you can use the perimeter formula to find the perimeter of a rectangle with a length of 15 cm and a width of 8 cm. Using the formula P = 2(l + w), you get P = 2(15 + 8) = 2(23) = 46 cm.

Q: What if I have a rectangle with a length of 25 cm and a width of 12 cm? How do I find the perimeter?

A: To find the perimeter of a rectangle with a length of 25 cm and a width of 12 cm, you can use the formula P = 2(l + w). Substituting the values, you get P = 2(25 + 12) = 2(37) = 74 cm.

Conclusion

In conclusion, finding the perimeter of a rectangle is a simple process that can be done using the formula P = 2(l + w). By converting the length and width from the same unit to the same unit and using the formula, we can find the perimeter of a rectangle. We can also use the perimeter formula to find the perimeter of a square.