What is the area of a rectangle 6 Gunter's chains long by 5 Gunter's chains wide?

Prepare for the NCEES Fundamentals of Surveying Exam. Study with flashcards and multiple choice questions, each question comes with hints and explanations. Get ready for your test!

To determine the area of a rectangle, the formula used is length times width. In this case, the rectangle measures 6 Gunter's chains in length and 5 Gunter's chains in width.

First, calculating the area in Gunter's chains gives us:

Area = Length × Width = 6 Gunter's chains × 5 Gunter's chains = 30 Gunter's chains².

Next, it is essential to convert the area from Gunter's chains to acres since the answer choices are in acres. One Gunter's chain is equivalent to 66 feet, and one acre is defined as 43,560 square feet.

To convert the area from Gunter's chains squared to acres, we can see how many feet squared are in 30 Gunter's chains²:

1 Gunter's chain = 66 feet, so:

Area in feet² = 30 (Gunter's chains²) × (66 feet/Gunter's chain)² = 30 × 66² = 30 × 4356 = 130680 feet².

Now, converting this area into acres:

130680 feet² ÷ 43,560 feet²/acre = 3 acres.

Thus, the

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