Question

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 700 feet in length and the property line is 3600 feet in length. the lot has an area of about \boxed{} acre(s). (round the final answer to the nearest hundredth as needed. round all intermediate values to the nearest whole number as needed.)

Explanation:

Step1: Recall area of right triangle

The area of a right triangle is given by \( A = \frac{1}{2} \times \text{base} \times \text{height} \). Here, the stream frontage (let's say base) is 700 feet and the property line (height) is 3600 feet.
\[ A = \frac{1}{2} \times 700 \times 3600 \]

Step2: Calculate the area in square feet

First, calculate \( \frac{1}{2} \times 700 = 350 \), then \( 350 \times 3600 = 1260000 \) square feet.

Step3: Convert square feet to acres

We know that 1 acre = 43560 square feet. So, divide the area in square feet by 43560.
\[ \text{Area in acres} = \frac{1260000}{43560} \]
Calculate this division: \( 1260000 \div 43560 \approx 28.93 \) (rounded to the nearest hundredth).

Answer:

28.93