What is the perimeter of DEFG?

A, B, C or D

Given:

Given that the figure DEFG with vertices D(1,2), E(2,6), F(6,7) and G(5,3)

We need to determine the perimeter of DEFG.

The length of the sides can be determined using the formula,

Length of DE:

Substituting the coordinates D(1,2), E(2,6) in the formula, we get;

Length of EF:

Substituting the coordinates E(2,6), F(6,7) in the formula, we get;

Length of FG:

Substituting the coordinates F(6,7), G(5,3) in the formula, we get;

Length of DG:

Substituting the coordinates D(1,2), G(5,3) in the formula, we get;

Perimeter of DEFG:

The perimeter of DEFG can be determined by adding the side lengths DE, EF, FG and DG.

Thus, we have;

Substituting the values, we have;

Thus, the perimeter of DEFG is 4√17

Hence, Option b is the correct answer.

-3

step-by-step explanation:

a drawing really does here:

so i draw the horizontal line y=2 and the vertical line x=-2 at this intersection i put b (this is where my right angle is going to be).   so point b is at (-2,2).   point a is 5 units long and is also on y=2 so this point has to be (3,2) or (-7,2) -doesn't matter i will go with (3,2).

now we know c is at (-2,y) we don't know the y yet bet we know that c is on x=-2.

we have the area of the triangle is .5bh=12.5

we know the base length is 5 (ab)

we have the height is (2-y) if you look at your

plug in

.5(5)(2-y)=12.5

solve for y to get the y-coordinate for c

2.5(2-y)=12.5

divide both sides by 2.5 giving:

2-y=5

now subtract 2 on both sides

-y=3

y=-3

where are the images of the functions i can only see the question you typed.

step-by-step explanation: