Question

I need helping finding out the answers … I’m confused.

Answer 1

To solve this problem, we will use the following formula for the area of a trapezoid:

`A=(a+b)/(2)h,`

where a, and b are the lengths of the bases and h is the height.

Now, we are given that ( we will omit the units to simplify the calculations):

`\begin{gathered} h=(1)/(4)(a+b), \\ h=2(1)/(2). \end{gathered}`

Therefore:

`((a+b))/(2)=2((a+b)/(4))=2h=2(2+(1)/(2))=4+1=5.`

Substituting in the above formula, we get:

`A=(5)/(2)*(2(1)/(2)).`

Simplifying the above result, we get:

`A=(25)/(4)ft^2.`

Answer:

`\begin{gathered} A=(1)/(2)(2(1)/(2))(2(1)/(2)\cdot2) \\ =(1)/(2)((5)/(2))((5)/(2)\cdot2) \\ =(50)/(8)=(25)/(4)=6.25ft^2. \end{gathered}`