Respuesta :

Answer:

Step-by-step explanation:

Co-ordinates of F, G and H are:

F (-4, 5)

G (1, 10)

H (-9, 10)

You can find the lengths of sides by using the distance formula:

length(FG) = [tex]\sqrt{(x_{2}-x_{1})^{2} + (y_{2}-y_{1})^{2}}[/tex] = [tex]\sqrt{(1-(-4))^{2} + (10-5)^{2}} = 5\sqrt{2}[/tex] units

Similarly,

length(GH) = 10 units

length(HF) = [tex]5\sqrt{2}[/tex] units

Hence, perimeter will be:

P = length(FG) + length(GH) + length(HF) = [tex]10(\sqrt{2} + 1)[/tex] units