Answer:
8(3y + 2) = 8 * 3y + 8 * 2 = 24y + 16
Step-by-step explanation:
The outer rectangle has width 8 and length 3y + 2.
The area of the outer rectangle is length times width or width times length, so the area is 8(3y + 2).
We can also find the area by finding the area of each small rectangle, and adding the areas together.
The left small rectangle has dimensions 8 and 3y.
A1 = WL = 8 * 3y = 24y
The right small rectangle has dimensions 8 and 2.
A2 = WL = 8 * 2 = 16
The total area of both small rectangles is 24y + 16
That tells use that
8(3y + 2) = 8 * 3y + 8 * 2 = 24y + 16
This is the distributive property at work.
