Question

#12 with explanation please

Answer 1

• 30.01 units

Explanation:

Given vertices WXYZ:

• W(-4,5), X(2,4), Y(3, -4), Z(-1, -6)

Perimeter is the sum of the side length.

Use distance formula to find each side:

• WX =
  `√((2+4)^2+(4-5)^2) =√(37)` ≈ 6.08
• XY =
  `√((3-2)^2+(-4-4)^2) =√(65)` ≈ 8.06
• YZ =
  `√((-1-3)^2+(-6+4)^2) =√(20)` ≈ 4.47
• WZ =
  `√((-1+4)^2+(-6-5)^2) =√(130)`
  `√((-1+4)^2+(-6-5)^2)=√(130)` ≈ 11.40

Find perimeter:

• P = 6.08 + 8.06 + 4.47 + 11.40 = 30.01 units