Use the Trapezoidal Rule to Estimate the Number of Square $x$

question 139

Multiple Choice

Use the Trapezoidal Rule to estimate the number of square meters of land in a lot where $x$ and $y$ are measured in meters as shown in the figure below. The land is bounded by a stream and two straight roads that meet at right angles.
$\begin{array}{|l|l|l|l|l|l|l|l|l|l|l|l|}\hline x & 0 & 100 & 200 & 300 & 400 & 500 & 600 & 700 & 800 & 900 & 1000 \\\hline y & 110 & 110 & 105 & 97 & 75 & 75 & 80 & 65 & 60 & 20 & 0 \\\hline\end{array}$

• A) 74,200
• B) 74,000
• C) 73,700
• D) 74,700
• E) \(74.400\)

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Definitions:

Land

A portion of the Earth's surface that includes its soil and anything naturally attached to it, considered as property.

Ceiling Fan

An electrically powered fan mounted to the ceiling of a room, which rotates blades to circulate air and provide cooling.

Fixture

An item that was originally a piece of personal property but becomes part of realty after it is permanently attached to the real property in question.

Subsurface Rights

Legal rights to use and develop the area below the earth's surface, such as minerals, oil, and gas.