If you happen to be viewing the article The area of a rectangle is 105 square units. Its width measures 7 units. Find the length of its diagonal. Round to the nearest tenth of a unit. ? on the website Math Hello Kitty, there are a couple of convenient ways for you to navigate through the content. You have the option to simply scroll down and leisurely read each section at your own pace. Alternatively, if you’re in a rush or looking for specific information, you can swiftly click on the table of contents provided. This will instantly direct you to the exact section that contains the information you need most urgently.
The area of a rectangle is 105 square units. Its width measures 7 units. Find the length of its diagonal. Round to the nearest tenth of a unit.
To find the length of the diagonal of a rectangle, you can use the Pythagorean theorem. In a rectangle, the diagonal, width, and length form a right triangle.
Article continues below advertisement
Given:
Area of the rectangle = 105 square units
Width = 7 units
Let the length of the rectangle be “l”.
Since the area of a rectangle is given by the formula:
Area = length × width
105 = l × 7
l = 105/7
l = 15
Now, we have the length (l) and the width (w) of the rectangle. We can find the diagonal (d) using the Pythagorean theorem:
d^2 = l^2 + w^2
d^2 = 15^2 + 7^2
d^2 = 225 + 49
d^2 = 274
Now, we take the square root of both sides to find d:
d = √274
Using a calculator, we find:
d ≈ 16.55
Rounding to the nearest tenth, the length of the diagonal of the rectangle is approximately 16.6 units.
How to Calculate the Area and Perimeter of a Rectangle?
To calculate the area and perimeter of a rectangle, you need to know the length and width of the rectangle.
-
Area of a Rectangle: The area (A) of a rectangle is given by the formula: A = Length × Width
-
Perimeter of a Rectangle: The perimeter (P) of a rectangle is given by the formula: P = 2 × (Length + Width)
Here’s how to calculate:
Example: Let’s say you have a rectangle with a length of 6 units and a width of 4 units.
-
Area: A = 6 × 4 = 24 square units So, the area of the rectangle is 24 square units.
-
Perimeter: P = 2 × (6 + 4) = 2 × 10 = 20 units So, the perimeter of the rectangle is 20 units.
That’s it! You’ve calculated the area and perimeter of a rectangle. Just plug in the values of length and width into the respective formulas, and you can find the area and perimeter of any rectangle.
Article continues below advertisement
Article continues below advertisement
Thank you so much for taking the time to read the article titled The area of a rectangle is 105 square units. Its width measures 7 units. Find the length of its diagonal. Round to the nearest tenth of a unit. written by Math Hello Kitty. Your support means a lot to us! We are glad that you found this article useful. If you have any feedback or thoughts, we would love to hear from you. Don’t forget to leave a comment and review on our website to help introduce it to others. Once again, we sincerely appreciate your support and thank you for being a valued reader!
Source: Math Hello Kitty
Categories: Math
