Question

What is the perimeter? Step by step.

Answer 1

Answer: 36

Explanation:

to find the length, find the hypotenuse of a triangle formed by the x-axis and the distance the parallelogram is from the x-axis.

hypotenuse=
`a^(2)+b^(2) =c^(2)`

the distance from -6 to -3 is 3 units

the distance from 0 to 4 is 4 units

`3^(2) +4^(2) =9+16=25`

then
`√(25) =5`

therefore the length of the parallelogram is 5 units

repeat on other side

the distance from -3 and 9 is 12 units

the distance from 0 and 5 is 5 units

`12^(2) +5^(2) =144+25=169`

then
`√(169) =13`

therefore the width of the parallelogram is 13 units

now to find the perimeter add all side lengths of the given shape

since parallelograms have equal lengths and widths add 13+13+5+5

therefore the perimeter of the parallelogram is 36