Given Information :
- Length of parallel sides = 60 ft and 40 ft
- Height of the trapezoid = 30 ft
To calculate :
Calculation :
As we know that,
![\bigstar \: \boxed{\sf {Area_((Trapezium)) = (1)/(2) * ( a + b) * h}} \\](https://img.qammunity.org/2022/formulas/mathematics/high-school/7wmo3yrxllitpvp9vdu4wq9qujtp027185.png)
- a and b are length of parallel sides.
- h denotes height.
Substituting values, we get :
Area =
× ( 60 + 40 ) × 30 ft
![\sf ^2](https://img.qammunity.org/2022/formulas/mathematics/high-school/6quv7wghps23xskq8ub9ysvmm6m7jlf0gw.png)
Area =
× 100 × 30 ft
![\sf ^2](https://img.qammunity.org/2022/formulas/mathematics/high-school/6quv7wghps23xskq8ub9ysvmm6m7jlf0gw.png)
Area = 1 × 100 × 15 ft
![\sf ^2](https://img.qammunity.org/2022/formulas/mathematics/high-school/6quv7wghps23xskq8ub9ysvmm6m7jlf0gw.png)
Area = 100 × 15 ft
![\sf ^2](https://img.qammunity.org/2022/formulas/mathematics/high-school/6quv7wghps23xskq8ub9ysvmm6m7jlf0gw.png)
Area = 1500 ft
![\sf ^2](https://img.qammunity.org/2022/formulas/mathematics/high-school/6quv7wghps23xskq8ub9ysvmm6m7jlf0gw.png)
Therefore,
- Area of the trapezoid is 1500 ft
![\sf ^2](https://img.qammunity.org/2022/formulas/mathematics/high-school/6quv7wghps23xskq8ub9ysvmm6m7jlf0gw.png)