Question

Rhombus WXYZ is graphed on a coordinate plane.

What is the perimeter of the rhombus?

16 units
20 units
24 units
28 units

Answer 1

Answer:B 20 units

Explanation:

Answer 2

see diagram in attachment

a rhombus is a 4 sided figure with 4 equal length sides

so if we can find the length of 1 side and multiply it by 4, we get the perimiter

you can draw 2 lines to make 4 similar triangles

we can see that you can use pythagorean rule to get the length of the hypotonuse of one triangle so
`h=√(4^2+3^2)=√(25)=5` so perimiter is 4*5=20 units

or you can use distance formula which is basically the pythatorean theorm

from W to X, that is from (-3,1) to (1,4)

`d=√((x_1-x_2)^2+(y_1-y_2)^2)`

`d=√((-3-1)^2+(1-4)^2)`

`d=√((-4)^2+(3)^2)`

`d=√(16+9)`

`d=√(25)`

`d=5`

4*5=20, so perimiter is 20 units