Respuesta :

Answer:

AE:[tex]\sqrt{15300}[/tex]

DE:150

PABCDE: 720

Step-by-step explanation:

We can find AE by the pythagorean theorem, [tex]a^{2}+b^{2}=c^{2}[/tex]

AE is the hypotenuse so AE=c, and the leg of the triangle would be 150-30=120

[tex]50^{2}+120^{2}=c^{2}[/tex]

c^2=2500+14400

AE=130

We can use the pythagorean theorem again to find DE.

The base would equal 140-50=90 and the height would equal 120

[tex]90^{2} +120^{2} =DE^{2}[/tex]

DE^2=22500

DE=150

The perimeter would be 150+140+150+130+150=720

Let me know if somethings wrong