Lucita was given a rectangular piece of plastic tile shaped in a rectangle. What is the perimeter of the piece of tile in inches? It's width is 2 1/5 in and its height is 5 1/3in
A.14 1/2
B.14 4/15
C.15
D.15 1/15
My answer I got was 14 16/15 what do I do next?
The answer is right.
16/15 = 1 1/15
14 16/15 = 15 1/15
Thank you
You're welcome.
To find the perimeter of the rectangular piece of plastic tile, you need to add up all four sides of the rectangle.
The given width is 2 1/5 in, which can be written as an improper fraction: 2 + 1/5 = 11/5 in.
The given height is 5 1/3 in, which can be written as an improper fraction: 5 + 1/3 = 16/3 in.
Now, calculate the perimeter using the formula: perimeter = 2 * (width + height).
Using the improper fractions, the perimeter = 2 * (11/5 + 16/3)
To add these fractions, you need a common denominator. In this case, the least common multiple (LCM) of 5 and 3 is 15.
So, the perimeter = 2 * ((11/5)*(3/3) + (16/3)*(5/5))
= 2 * ((33/15) + (80/15))
= 2 * (113/15)
= 226/15
Now, you need to simplify the fraction 226/15. Divide the numerator (226) by the denominator (15): 226 ÷ 15 = 15 with a remainder of 1.
So, the fraction 226/15 can be written as a mixed number: 15 1/15.
Therefore, the correct answer is D.15 1/15.