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I think it would be a very complicated program.

I don't know how the tablet would sense what distance it had moved. Perhaps a series of images would give it a way to keep track of its movement. That sounds like a very tricky and complicated...

I suppose if you have a scale for the span of distance shown on the image, you can then select spots on the image to be measured and compute the distance between click spots using the given scale.
I...

I have not seen any of those apps for the tablet. I can only imagine that they use an image from the camera to do some calculations.

Why do you think your tablet can sense its position inside of a house? The only position sensing feature I know of for a tablet is GPS.
We have come full circle back to post#8.

How does the tablet sense its position so it can be recorded?

I have no idea how pictures of a house can be used to get an x,y value.
Where is the 0,0 point of reference? Which way does the axis run?

Sorry, I don't think that GPS coordinates from a tablet are accurate enough to be able to get the positions of the corners of a house on a map of the earth. I have found that GPS positions can be...

The general formulas for computing the distance between two points located by lat and long do not require the Google API. I thought that the Google API was required if you were going to use maps...

Given the lat and long of two places, the distance between them can be computed.

This site has code for measuring distances: https://github.com/j4velin/MapsMeasure

I do not know of any sensing device on an android tablet that measures distances to walls from within a room.
Most tablets have GPS which can give you a position in degrees of latitude and longitude.

I have no idea how your tablet senses walls to be able to compute its distance from them.
What feature(s) does your tablet have to sense walls? Can it be calibrated to measure in feet or meters?

What are the x and y measuring? Where is the 0,0 point?
It sounds like you want the coordinates for the position of the tablet in a room where you can move the tablet from one side to the other....

What values are in the x and y variables? Are they supposed to hold the coordinates of some component?
What is the component that you are working with?