Respuesta :

Answer: The area of the trapezoid is 45 square feet .

Step-by-step explanation:

Formula : Area of trapezoid : [tex]A=\dfrac{1}{2}(a+b)h[/tex] , where a and b are the parallel opposite sides (bases) and h= height.

We are given that : A trapezoid has Base 1 = 10 ft

Base 2 = 8 feet

height = 5 ft

Then, the area of the trapezoid would be (Put a=10 , b= 8 and h=5)

[tex]A=\dfrac{1}{2}(10+8)(5)[/tex]

[tex]A=\dfrac{1}{2}(18)(5)[/tex]

[tex]A=(9)(5)=45\ \text{square feet}[/tex]

Therefore , the area of the trapezoid = 45 square feet