Fundamentals of Surveying (FS) Practice Exam

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

1. 3 ac

2. 7 ac

3. 20 ac

4. 30 ac

The correct answer is: 3 ac

To determine the area of a rectangle measured in Gunter's chains, you need to multiply the length by the width. In this case, the rectangle is 6 Gunter's chains long and 5 Gunter's chains wide. First, calculate the area in Gunter's chains: Area = Length × Width Area = 6 chains × 5 chains = 30 square Gunter's chains. Next, it's essential to convert square Gunter's chains into acres. One Gunter's chain is equivalent to 66 feet, so a square Gunter's chain is: 1 square chain = \(66 \text{ ft} \times 66 \text{ ft} = 4356 \text{ ft}^2\). To convert square feet to acres, we use the fact that 1 acre is 43,560 square feet: 1 square chain = \( \frac{4356 \text{ ft}^2}{43,560 \text{ ft}^2/\text{acre}} \approx 0.1 \text{ acre}\). Thus 30 square chains gives: Area in acres = 30 chains² × 0.1 acres/chain² = 3 acres. Therefore,