Question

A rectangle has a length of 6 and a width of y + 4. Use the distributive property to write an expression to represent the area of the rectangle.

Answer 1

`\large\boxed{A=6y+24}`

Explanation:

`\text{The formula of an area of a rectangle:}\\\\A=l* w\\\\l-\text{length}\\w-\text{width}\\\\\text{We have:}\\\\l=6,\ w=y+4\\\\\text{Substitute:}\\\\A=6*(y+4)\\\\\text{use the distributive property}:\ a(b+c)=ab+ac\\\\A=(6)(y)+(6)(4)\\\\A=6y+24`