In this blog we are going to tell you about Rectangle EFGH, so read this blog carefully to get the complete information.
- ✓10 + ✓29 units
- 2✓10 + 2✓29 units
- 22 units
- 39 units
where G= -3,4 (top left) F= -4, 1 (bottom left) H= 2,2 (top right) E = 1, -1 (Bottom Right)
Answer: (2.) 2✓10 +2✓29 units
About the question
In this question, we have to calculate the perimeter of the rectangle EFGH whose points are given. For calculating the perimeter of any rectangle, you should know the formula is Perimeter of Rectangle = 2L + 2B where L is the length and B is the breadth of the rectangle. Let’s understand how the perimeter of the rectangle EFGH is calculated from the given points.
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Answer Explanation:
To calculate the perimeter of the rectangle EFGH we need to know the length and breadth of the rectangle. This implies that we should know the distance between the points. The points are given such that: G (-3, 4), H (2, 2), E(1, -1), and F (-4, 1).
Now you will calculate the distance between points E and F. We will get,
d² = (-4-1) ² + (1–1)² = 25 + 4 = 29
d = ✓29
Now again, on calculating distance from points F and G, we will get-
d² = (-4–3)² + (1-4)² = 1 + 9 = 10
d = ✓10
Now the perimeter of the rectangle EFGH is given by
Perimeter EFGH = 2L +2B
Perimeter EFGH = 2(✓29) + 2(✓10)
Perimeter EFGH = 17.09 units
So the correct answer for the perimeter of the rectangle EFGH is 2(✓29) + 2(✓10) units.
The bottom line
We hope that you have got your answer and understood the method of calculating the perimeter of the rectangle as well. This method helps calculate the perimeter of any rectangle whose points are given. By following the same way and putting the values of points, you can also calculate the perimeter of any rectangle easily.
Conclusion
We Hope this blog is sufficient enough to provide the information about Rectangle EFGH. Thanks for reading this blog.