Question

on a plot of land, 48% of the square footage is farmland and the remaining square footage is pasture. there are buildings in exactly 28.5% of the square footage of the farmland, and there are buildings on exactly 11.0% of the square footage of the pasture. if there are buildings on exactly p% of the square footage of the plot of land, what is the value of p?

Explanation:

Step1: Find pasture percentage

Total land is 100%. Farmland is 48%, so pasture is \(100 - 48 = 52\%\) of total land.

Step2: Calculate building on pasture

Building on pasture is 11.0% of pasture. So that's \(0.11\times52 = 5.72\%\) of total land.

Step3: Calculate building on farmland

Building on farmland is 28.5% of farmland. So that's \(0.285\times48 = 13.68\%\) of total land.

Step4: Find total building percentage (p)

Add building on pasture and farmland: \(5.72 + 13.68 = 19.4\)

Answer:

\(19.4\)