Find the total displacement (only distance) Show work please!

the model patio is a smaller, scaled down version of the actual patio.

When you scale something the dimensions get multiplied (scaled up) or divided (scaled down) by the same number.

actual patio length = 15 ft

model patio length = 6 ft

The multiplier to scale up the model is:  

15/6 = 2.5

model  patio width = 3 ft

Actual patio width = 3 * 2.5 = 7.5 ft

Area of actual patio = 15 ft * 7.5 ft = 112.5 ft²