Question

Question was provided via image upload.

Explanation:

Identify the given values and target

Using the Triangle Area Calculation and Acre Conversion knowledge points
We are given:

• A right-triangular property lot.
• The stream frontage (base of the right triangle) is \(b = 900\text{ feet}\).
• The property line (height of the right triangle) is \(h = 3800\text{ feet}\).
• We need to find the area in acres, rounded to the nearest hundredth.
• Conversion factor: \(1\text{ acre} = 43,560\text{ square feet}\).

Calculate the area in square feet

Using the Triangle Area Calculation knowledge point

$$ \text{Area} = \frac{1}{2} \times \text{base} \times \text{height} $$

$$ \text{Area} = \frac{1}{2} \times 900 \times 3800 = 1,710,000\text{ sq ft} $$

Convert the area to acres

Using the Acre Conversion knowledge point

$$ \text{Area in acres} = \frac{1,710,000}{43,560} $$

$$ \text{Area in acres} \approx 39.256198... $$

Round to the nearest hundredth

Using the Acre Conversion knowledge point

$$ \text{Area} \approx 39.26\text{ acres} $$

Answer:

Refer to the figure to the right. Find the area in acres of the property (enclosed by the right triangle) under the given assumptions.
The stream frontage is 900 feet in length and the property line is 3800 feet in length.

The lot has an area of about <blank>39.26</blank> acres.
(Round the final answer to the nearest hundredth as needed. Round all intermediate values to the nearest whole number as needed.)