Question

What is the perimeter of quadrilateral ABCD with verticals at A(-11,-6) b(-3,0) c(1,0) and d (1,-6)

Answer in units

Answer 1

32 units

Explanation:

We have a quadrilateral ABCD and we are given the following coordinates for these vertices:

A (-11,-6)

B (-3,0)

C (1,0)

D (1,-6)

AB =
`√((0-(-6))^2+(-3-(-11)^2) = √(36+64) =√(100)` = 10 units

BC =
`√((0-0)^2+(1-(-3)^2) = √(0+16) =√(16)` = 4 units

CD =
`√((0-(-6))^2+(1-1^2) = √(36+0) =√(36)` = 6 units

AD =
`√((-6-(-6))^2+(1-(-11)^2) = √(0+144) =√(144)` = 12 units

Perimeter of ABCD =
`10+4+6+12` = 32 units