HELP ME PLEASE

9514 1404 393

  159 cm²  (see comment)

Step-by-step explanation:

The area of the central rectangle is ...

  A = LW = (18 cm)(8 cm) = 144 cm² . . . rectangle area

The area of the two triangles is ...

  A = 2(1/2bh) = bh = (6 cm)(2.5 cm) = 15 cm²    (each triangle is 7.5 cm²)

So, the total area of the net shown is ...

  144 cm² +15 cm² = 159 cm² . . . prism surface area

Additional comment

Yet another poorly edited geometry problem. The equilateral triangle will have a height closer to 5.2 cm than 2.5 cm. Apparently, somebody transposed the figures. If the correct number is used, the single-triangle area is 15.6 cm² and the total area is 175.2 cm².

Which set of answers is "correct" will depend on whether the answer key matches the intended problem, or the problem actually shown.

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)