Find the length and area of a rectangular rug if the width of the rug is 12 feet and the diagonal measures 20 feet.

So use pythogoras theorem

a^2=c^2-b^2

a^2 = 20^2-12^2

a^2= 256

a= square root of 256

length is 16 ft

area = l x w

= 16 x 12

Area is 192 square feet

Step-by-step explanation:

The length = 192 feet squared

The diagonal = 16 feet

Step-by-step explanation:

Over here, we can use the Pythagorean theorem which states that in a right triangle, a^2+b^2=c^2

The width measures 12 and the diagonal measures 20, so we have a and c, so 144+b^2=400 which simplifies to b^2=256. The square root of 256 is 16 so that's our length

Then we just plug in the formula to find the area of a rectangle which is l*w, so 12*16=192

b

step-by-step explanation:

introduction, methodology, results, discussion

step-by-step explanation:

an observational study is one which consists of actual observation to record data and then analyse the data.

there are a number of factors that should be analyzed before starting an observational study.

the main four factors are:

i) introduction:   this should be analysed to check whether the purpose of the study is correctly established and the data recorded are appropriate for the study

methodology:   the method of collecting the data, such as whether randomly selected, and whether sample size matches with the population to be studied, whether questions asked are easy to answer by common men, etc.

results: then results such as summary of data with comments should be studied thoroughly

discussion:   the last is the discussion, this can be either by management people or persons who are all interested , etc.