Answer:
12x + 30y
156
Step-by-step explanation:
To use the distributive property, you multiply the number or quantity outside the parentheses (6 in this problem) by each of the numbers or quantities inside the parentheses (2x and 5y in this problem).
You started out correctly writing 6(2x), but then you must multiply 6 by 5y too, so you should get 6(2x) + 6(5y). Then you do the two multiplications to get 12x + 30y.
Here are the steps:
6(2x + 5y) =
= 6(2x) + 6(5y)
= 12x + 30y
The expression is: 12x + 30y
Now we use the expression with the values x = 3 and y = 4 to find the area.
12x + 30y =
= 12(3) + 30(4)
= 36 + 120
= 156
