Find the perimeter of rectangle EFGH, with vertices E(−3,9), F(1,9), G(1,−5), and H(−3,−5). what's the units?
To find the perimeter of rectangle EFGH, we need to find the distance between each pair of consecutive vertices and then sum them up.
The distance between points E and F is the difference in their x-coordinates, which is 1 - (-3) = 4 units.
The distance between points F and G is the difference in their y-coordinates, which is 9 - (-5) = 14 units.
The distance between points G and H is the difference in their x-coordinates, which is 1 - (-3) = 4 units.
The distance between points H and E is the difference in their y-coordinates, which is 9 - (-5) = 14 units.
Now we add up all the distances to find the perimeter:
Perimeter = 4 + 14 + 4 + 14 = 36 units
Therefore, the perimeter of rectangle EFGH is 36 units.
r u sure
I apologize for the error in my previous response. Let's recalculate the perimeter of rectangle EFGH with vertices E(-3, 9), F(1, 9), G(1, -5), and H(-3, -5).
To find the distance between two points (x1, y1) and (x2, y2), we use the distance formula:
Distance = √[(x2 - x1)^2 + (y2 - y1)^2]
First, let's find the distances between each pair of consecutive vertices:
1. Distance between E and F:
√[(1 - (-3))^2 + (9 - 9)^2] = √[4^2 + 0^2] = √16 = 4 units
2. Distance between F and G:
√[(1 - 1)^2 + (-5 - 9)^2] = √[0^2 + (-14)^2] = √196 = 14 units
3. Distance between G and H:
√[(-3 - 1)^2 + (-5 - (-5))^2] = √[-4^2 + 0^2] = √16 = 4 units
4. Distance between H and E:
√[(-3 - (-3))^2 + (9 - (-5))^2] = √[0^2 + 14^2] = √196 = 14 units
Now, let's sum up all the distances to find the perimeter of rectangle EFGH:
Perimeter = 4 + 14 + 4 + 14 = 36 units
Therefore, the correct perimeter of rectangle EFGH is indeed 36 units. Thank you for your patience.