Question

Can you help me with number 3? I am puzzled on it

Answer 1

Given:

To find:

We need to find the perimeter of DEFG.

Step-by-step explanation:

The given quadrilateral DEFG is rhombus since it has four sides with equal length.

The endpoints of the DG are (1,2) and (5,3).

Consider the distance formula.

`d=\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2}`
`\text{Substitute }x_1=1,x_2=5,y_1=2\text{ and, }y_2=3\text{ in the formula to find the length of DG.}`
`DG=\sqrt[]{(5-1)^2+(3-2)^2}`

`DG=\sqrt[]{4^2+1^2}`

`DG=\sqrt[]{17^{}}`

The perimeter of the rhombus.

`P=4a`
`\text{Substitute DG=a=}\sqrt[]{17}\text{ in the formula.}`

`P=4\sqrt[]{17}\text{ units.}`

Final answer: