Respuesta :

Given Information :

  • Length of parallel sides = 60 ft and 40 ft
  • Height of the trapezoid = 30 ft

To calculate :

  • Area of the trapezoid.

Calculation :

As we know that,

[tex]\bigstar \: \boxed{\sf {Area_{(Trapezium)} = \dfrac{1}{2} \times ( a + b) \times h}} \\ [/tex]

  • a and b are length of parallel sides.
  • h denotes height.

Substituting values, we get :

[tex] \longmapsto [/tex] Area = [tex]\sf \dfrac{1}{2} [/tex] × ( 60 + 40 ) × 30 ft[tex] \sf ^2 [/tex]

[tex] \longmapsto [/tex] Area = [tex]\sf \dfrac{1}{2} [/tex] × 100 × 30 ft[tex] \sf ^2 [/tex]

[tex] \longmapsto [/tex] Area = 1 × 100 × 15 ft[tex] \sf ^2 [/tex]

[tex] \longmapsto [/tex] Area = 100 × 15 ft[tex] \sf ^2 [/tex]

[tex] \longmapsto [/tex] Area = 1500 ft[tex] \sf ^2 [/tex]

Therefore,

  • Area of the trapezoid is 1500 ft[tex] \sf ^2 [/tex]