Question

1.Find the perimeter of a quadrilateral with vertices at C (−1, 1), D (3, 4), E (6, 0), F (2, −3). Round your answer to the nearest hundredth when necessary.
12 units
16 units
20 units
24 units

Answer 1

Any ideas ?

Answer 2

Nope

Answer 3

What about distance formula ?

Answer 4

The distance formula

Answer 5

Yes. The distance between two points \(\large{(x_1,y_1)~\text{and}~(x_2,y_2)}\) is given by:

\[\large{\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}}\]

Answer 6

D= square root (x2-x1)^2 +(y2-y1)^2

Answer 7

Yup

Answer 8

I kinda forgot how to slove it
Can u help me @vishweshshrimali5

Answer 9

Okay lets see. For calculating perimeters calculate:

CD, DE, EF, FC using distance formula and then add all of these lengths to get the perimeter

Answer 10

I am going to show how you can find out CD.

1. For calculating CD, apply distance formula for coordinates of vertices C and D.

2. \(\large{CD = \sqrt{(3-(-1))^2 + (4-1)^2}}\)

Any doubt in any step ?

Answer 11

Nope

Answer 12

CD = 5
DE= 7.07
EF= 5
FC = 5

Answer 13

Right @vishweshshrimali5