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given the building layout for store a, store b, store c, and store d, w…

Question

given the building layout for store a, store b, store c, and store d, what portion of the shared $6000 security costs should be apportioned to store d? a 2500 ft² b 625 ft² c 625 ft² d 2500 ft² apportioned cost = $?

Explanation:

Step1: Calculate total area

First, find the total area of all stores. Store A: \(2500\) \(ft^2\), Store B: \(625\) \(ft^2\), Store C: \(625\) \(ft^2\), Store D: \(2500\) \(ft^2\). Total area \(= 2500 + 625 + 625 + 2500 = 6250\) \(ft^2\).

Step2: Find proportion of Store D

The proportion of Store D's area to total area is \(\frac{2500}{6250}\).

Step3: Calculate cost for Store D

Multiply this proportion by total security cost (\(6000\)). So, \(6000\times\frac{2500}{6250}\). Simplify \(\frac{2500}{6250}=\frac{2}{5}\), then \(6000\times\frac{2}{5}= 2400\).

Answer:

\(2400\)