For sophia’s graduation party, several tables of the same width will be arranged end to end to form a serving table with a total area of 75 ft 2 . the total length of the tables will be two more than three times the width. find the length and width of the serving table so that sophia can purchase the correct table cloth. round your answers to the nearest tenth

The length is 16.1 ft and the width is 4.7 ft

Step-by-step explanation:

Let

x -----> the total length of the tables

y -----> the width of the tables

we know that

The area is equal to

so

-----> equation A

-----> equation B

substitute equation B in equation A

Solve the quadratic equation by graphing

The solution is

Find the value of x

therefore

The length is 16.1 ft and the width is 4.7 ft

you didn't post any answer choices, so its not 100% clear what your teacher is looking for

however, log(15/7) is equivalent to log(15) - log(7)

i'm using the rule log(x/y) = log(x) - log(y)

mr. india