The measurements of a rectangular room, in a scale drawing, are 2 and 1/2 inches by 3 and 1/2 inches. The scale is 1/2 inches = 3 feet. If carpet costs $1.75 per square foot, how much will it cost to put carpet in this room? Please help if you can!

step-by-step explanation:

56.6

step-by-step explanation:

the ratio of the perimeters is equal to the scale.

the ratio of the areas is equal to the square of the scale.

34 / 20 = k

a / 19.6 = k²

substituting:

a / 19.6 = (34 / 20)²

a = 19.6 (34 / 20)²

a ≈ 56.6

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)

the answer is 5/14.

hope this .