Respuesta :

mhanifa

Answer:

  • 150 ft²

Step-by-step explanation:

Find the height of the trapezoid (dotted line segment) using Pythagorean:

  • [tex]h=\sqrt{13^2-5^2} =\sqrt{169-25} =\sqrt{144} =12[/tex] ft

Find the longer base:

  • [tex]b=10+5=15[/tex] ft

Find the area:

  • [tex]A=\cfrac{1}{2} (10+15)*12=150[/tex]

Height

  • √13²-5²
  • √12²
  • 12ft

Base=5+10=15

Area

  • 1/2(Sum of parallel sides)Height
  • 1/2(10+15)(12)
  • 150ft²