Martin says the area of a tile with a length of 1 foot by a width of 1 foot has an area of 1 square foot. and, to find 1 2 12 of this area, he would need to find 1 2 12 of the width and 1 2 12 of the length, and then multiply those two values. unfortunately, his method is incorrect. show at least one equation to show why this method would not work, and briefly state a method that will find 1 2 12 of 1 square foot.

The answer in the procedure

Step-by-step explanation:

we know that

If two figures are similar. then the ratio of its areas is equal to the scale factor squared

In this problem we have a tile with a length of 1 foot by a width of 1 foot

The area of the tile is equal to

substitute the values

Let

z-------> the scale factor

x------> the area of 1/2 tile

y------> the area of the original tile

so

substitute

-----> scale factor

therefore

To find the area of 1/2 tile must multiply the dimensions of the tile by the scale factor

so

Calculate the area

Martin's method is incorrect because to find the area of 1/2 tile, he multiplies the dimensions by 1/2

so

the area will be

quit

step-by-step explanation:

answer4 to the second power is 16

and 4 to the third power is 64,