Respuesta :

Answer:

height = 5 ft

Step-by-step explanation:

area of a trapezoid = [tex]\dfrac12(a+b)h[/tex]

where a and b are the bases and h is the height

Given:

  • area = 25.5 ft²
  • base a = 3.2 ft
  • base b = 7 ft

[tex]\implies 25.5=\dfrac12(3.2+7)h\\\\\implies 25.5=5.1h\\\\\implies h=5[/tex]

Height be h

  • Area =1/2(Sum of parallel sides)×height

[tex]\\ \rm\hookrightarrow 1/2(3.2+7)h=25.5[/tex]

[tex]\\ \rm\hookrightarrow 10.2h=51[/tex]

[tex]\\ \rm\hookrightarrow h=5ft[/tex]

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