Figure (A) Shows a Vacant Lot with a 80-Ft Frontage

question 28

Multiple Choice

Figure (a) shows a vacant lot with a 80-ft frontage in a development.To estimate its area, we introduce a coordinate system so that the x-axis coincides with the edge of the straight road forming the lower boundary of the property, as shown in Figure (b) .Then, thinking of the upper boundary of the property as the graph of a continuous function f over the interval [0, 80], we see that the problem is mathematically equivalent to that of finding the area under the graph of f on [0, 80].To estimate the area of the lot using a Riemann sum, we divide the interval [0, 80] into four equal subintervals of length 20 ft.Then, using surveyor's equipment, we measure the distance from the midpoint of each of these subintervals to the upper boundary of the property.These measurements give the values of f(x) at x = 10, 30, 50, and 70.What is the approximate area of the lot?

• A)6,430 sq ft
• B)6,580 sq ft
• C)6,510 sq ft
• D)6,460 sq ft

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Definitions:

Adjusting Entries

Financial records entered at the termination of an accounting period, aimed at allocating profits and outlays to the correct period.

Pretax Income

The income earned by a company before deducting taxes, representing the company's profitability after all expenses except taxes.

Accrued Expenses

Liabilities (payables) created when expenses are incurred, but cash will be paid in the future; created at end of period during the adjustment process to reflect the amount of expense incurred that the company will pay in the future.

Depreciation Expense

Distributing the expense of a physical asset throughout its lifespan.