Alan and Kate want to build a 5,000-square-foot ranch-style home on two acres of land they just bought. Once the house is built, how many acres of undeveloped land will remain?

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 =

Thus, approximately 1.88 acres of land will remain undeveloped.