Question

If a site of 1,00,000 m² accommodates 500 dwelling units (DU), then the residential density (in DU/acre) is (rounded off to nearest integer).

Hint:

Convert the site area from square metres to acres (1 acre = 4046.86 sq.m), then divide the number of dwelling units by that area.

Answer 1

Correct Answer: 20

Step 1: Convert the site area from square metres to acres.
\(1\) acre \(= 4046.86\) m\(^2\) (standard conversion). The site area is \(1{,}00{,}000\) m\(^2\), so in acres,
\[ \text{Area} = \frac{1{,}00{,}000}{4046.86} \approx 24.7107 \text{ acres} \]

Step 2: Apply the density formula.
Residential density is the number of dwelling units per unit of land area:
\[ \text{Density} = \frac{\text{Number of DU}}{\text{Land area}} = \frac{500}{24.7107} \]

Step 3: Compute the value.
\[ \text{Density} \approx 20.234 \text{ DU/acre} \]

Step 4: Final Answer.
Rounded to the nearest integer,
\[ \boxed{20 \text{ DU/acre}} \]