Find the perimeter of rectangle EFGH with vertices E(-3,9),F(1,9),g(1,-5)h(3,-5)
To find the perimeter of a rectangle, we sum the lengths of all four sides.
First, we find the length of each side using the distance formula:
- Side EF: √((1 - (-3))^2 + (9 - 9)^2) = √(16 + 0) = √16 = 4 units
- Side FG: √((1 - 1)^2 + (-5 - 9)^2) = √(0 + 196) = √196 = 14 units
- Side GH: √((3 - 1)^2 + (-5 - (-5))^2) = √(4 + 0) = √4 = 2 units
- Side HE: √((-3 - 3)^2 + (9 - 9)^2) = √(36 + 0) = √36 = 6 units
Now, we sum the lengths of all four sides to find the perimeter:
EF + FG + GH + HE = 4 + 14 + 2 + 6 = 26
Therefore, the perimeter of rectangle EFGH is 26 units.