Respuesta :

Answer:

2.3 cm

Step-by-step explanation:

[tex]\textsf{Area of a trapezium}=\dfrac{1}{2}(a+b)h \quad \textsf{(where a and b are the bases and h is the height)}[/tex]

Given:

  • base a = 3.8 cm
  • base b = 6.1 cm
  • h = x cm

Substituting the given values into the formula and solving for x:

[tex]\implies \dfrac{1}{2}(3.8 + 6.1)x=11.385[/tex]

[tex]\implies \dfrac{1}{2}(9.9)x=11.385[/tex]

[tex]\implies 9.9x=22.77[/tex]

[tex]\implies x=2.3[/tex]

Area of trapezoid 1/2(sum of parallel sides)(Height)

  • 1/2(6.1+3.8)x=11.385
  • 1/2(9.9)x=11.385
  • 9.9x=22.77
  • x=22.77/9.9
  • x=2.3