A science teacher told his students that the expression 4m^4/144n^4 represents the area in square units of the contaminated square region in their activity. What is the width of the region in simplest form?

Given that the contaminated region is a square, the area is given by the formula:

Area=length*width

since in a square length=width

the

area=length*length

or

area=width*width

thus given that area=4m^4/144n^4 sq. units let the width be w units

thus

area=w*w=4m^4/144n^4

w²=4m^4/144n^4

solving for w we get:

w=√ (4m^4/144n^4)

w=2m²/12n²

Hence the width, w=2m²/12n²