Question

Please help me with the question below(also please answer the question in a maximum of 5-10 minutes).

Answer 1

Given that Tom's yard is in the shape of a trapezoid, you know that the formula for calculating the area of a trapezoid is:

`A=((b_1+b_2))/(2)\cdot h`

Where "h" is the height of the trapezoid and these are the bases:

`\begin{gathered} b_1 \\ b_2 \end{gathered}`

In this case, you can identify that:

`\begin{gathered} b_1=65\text{ }ft \\ b_2=50\text{ }ft \\ h=30\text{ }ft \end{gathered}`

Then, you can substitute values into the formula and evaluate:

`A=\frac{(65\text{ }ft+50\text{ }ft)}{2}\cdot30\text{ }ft`
`A=\frac{115\text{ }ft}{2}\cdot30\text{ }ft`
`A=\frac{3450\text{ }ft^2}{2}`
`A=\frac{3450\text{ }ft^2}{2}`
`A=1725\text{ }ft^2`

Hence, the answer is:

`1725\text{ }ft^2`