Find the perimeter of rectangle EFGH, with vertices E(−3,9), F(1,9), G(1,−5), and H(−3,−5).(1 point)%0D%0A32 units
To find the perimeter of a rectangle, we add the lengths of all four sides together.
First, we find the lengths of the sides using the distance formula:
1. EF: √((1 - (-3))^2 + (9 - 9)^2) = √(4^2 + 0^2) = √16 = 4 units
2. FG: √((1 - 1)^2 + (-5 - 9)^2) = √(0^2 + 14^2) = √196 = 14 units
3. GH: √((-3 - 1)^2 + (-5 - (-5))^2) = √(-4^2 + 0^2) = √16 = 4 units
4. HE: √((-3 - (-3))^2 + (9 - (-5))^2) = √(0^2 + 14^2) = √196 = 14 units
Now, we add the lengths of all four sides together to find the perimeter:
4 + 14 + 4 + 14 = 36 units
Therefore, the perimeter of rectangle EFGH is 36 units.