Answer:
Approximately 1.88 acres of land will remain undeveloped.
Step-by-step explanation:
We are given the following in the question:
Area of land = 2 acre
We know that
1 acre = 43,560 square foot
Thus,
2 acre = 87,120 square foot
Area of ranch = 5,000 square foot
Area of undeveloped land =
[tex]A = \text{Area of land}-\text{Area of Ranch}\\A = 87120-5000\\A =82120\text{ square foot}\\\\A = \dfrac{82120}{43560}\text{ acres}\\\\A \approx 1.88\text{ acres}[/tex]
Thus, approximately 1.88 acres of land will remain undeveloped.
The undeveloped land that will remain is 82,120 ft.²
Given to us:
Area needed for Alan and Kate's home = 5,000 ft.²
Total Undeveloped land available = 2 acres
[tex]{\rm\begin{aligned}1\ acre\ of\ land&= 43,560 ft.^2\\ 2\ acres\ of\ land &= 2\times 43,560\\&= 87,120\ ft.^2}\end{aligned}[/tex]
Therefore, Total Undeveloped land available = 87,120 ft.²
[tex]\begin{aligned}\\Remaining\ undeveloped\ land &= {Total\ Undeveloped\ land\ available} - Area\ needed\ for\ home\\&=87,120-5000\\&= 82,120 ft.^2\end{aligned}[/tex]
Hence, the undeveloped land that will remain is 82,120 ft.².
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