Question

Find the perimeter of rectangle EFGH , with vertices E(−3,9) , F(1,9) , G(1,−5) , and H(−3,−5) .(1 point)

Answer 1

To find the perimeter of a rectangle, we need to add up the lengths of all its sides.

Using the distance formula, we can calculate the length of each side:

Side EF:
√[(1 - (-3))^2 + (9 - 9)^2] = √[4^2 + 0^2] = √16 = 4

Side FG:
√[(1 - 1)^2 + (-5 - 9)^2] = √[0^2 + (-14)^2] = √196 = 14

Side GH:
√[(-3 - 1)^2 + (-5 - (-5))^2] = √[-4^2 + 0^2] = √16 = 4

Side HE:
√[(-3 - (-3))^2 + (9 - (-5))^2] = √[0^2 + 14^2] = √196 = 14

Adding up the lengths of all four sides:
Perimeter = 4 + 14 + 4 + 14 = 36

Therefore, the perimeter of rectangle EFGH is 36.