Question

Please help

find the perimeter of the polygon with the verdices u(-2,4),v(3,4) and w(3,-4) round to the nearest hundredth

the perimeter is about _______ units​

Answer 1

Answer: The perimeter is about 22.43 units

Explanation:

Answer 2

22.43 units

Explanation:

we know that

The perimeter of a polygon is the sum of its length sides

the formula to calculate the distance between two points is equal to

`d=\sqrt{(y2-y1)^(2)+(x2-x1)^(2)}`

we have

u(-2,4),v(3,4) and w(3,-4)

step 1

Find the distance uv

substitute the values

`d=\sqrt{(4-4)^(2)+(3+2)^(2)}`

`d=\sqrt{(0)^(2)+(5)^(2)}`

`uv=5\ units`

step 2

Find the distance vw

substitute the values

`d=\sqrt{(-4-4)^(2)+(3-3)^(2)}`

`d=\sqrt{(-8)^(2)+(0)^(2)}`

`vw=8\ units`

step 3

Find the distance uw

substitute the values

`d=\sqrt{(-4-4)^(2)+(3+2)^(2)}`

`d=\sqrt{(-8)^(2)+(5)^(2)}`

`uw=√(89)=9.43\ units`

step 4

Find the perimeter

`P=uv+vw+uw=5+8+9.43=22.43\ units`