Question

A film set designer is using white and colored tiles in a pattern to create paths of different lengths. If x is the length of the path in feet, the number of colored tiles needed to make it is calculated using the rule
(8x2y2)(3xy)

where y represents the number of white tiles.

Which simplified expression represents the number of colored tiles used for a path of length x feet?

24x3y3
11x3y3
24x2y2
11x2y2

Answer 1

Answer: 24x3y3

Step-by-step explanation:

Answer 2

Answer:

Option 1 - $(8x^2y^2)(3xy)=24x^3y^3$    

Step-by-step explanation:

Given : A film set designer is using white and colored tiles in a pattern to create paths of different lengths. If x is the length of the path in feet, the number of colored tiles needed to make it is calculated using the rule

$(8x^2y^2)(3xy)$ where y represents the number of white tiles.

To find : Which simplified expression represents the number of colored tiles used for a path of length x feet?

Solution :

The number of colored tiles needed to make is $(8x^2y^2)(3xy)$

Where, y represents the number of white tiles.

x represents the length of path in feet.

Simplifying the expression,

$(8x^2y^2)(3xy)$

$=8\times 3\times x^2\times x\times y^2\times y$

We know, $a^m\times a^n=a^{m+n}$

$=24x^3y^3$

Therefore, Option 1 is correct.