Answer:
Area = 1725 ft²
Step-by-step explanation:
In this question, we have to calculate the area of the trapezoid. As mentioned in the hint, the formula for the area of a trapezoid is:
[tex]\boxed{\mathrm{Area = \frac{b_1 + b_2}{2} \times h}}[/tex],
where [tex]\mathrm {b_1}[/tex] and [tex]\mathrm {b_2}[/tex] are the two parallel bases of the trapezoid, and h is the height of the trapezoid.
As we can see in the diagram the two bases are 50 ft and 65 ft respectively, and the height is 30 ft. Using this information and the formula above, we can calculate the formula of the trapezoid:
[tex]\mathrm{Area = \frac{(50 + 65)\: \mathrm{ft}}{2} \times 30 \: \mathrm{ft}}[/tex]
[tex]= \frac{115 \: \mathrm {ft}}{2} \times 30 \: \mathrm{ft}[/tex]
[tex]= \bf 1725 \: ft^2[/tex]
Therefore, the area of the lawn is 1725 ft².
