Answer:
A = 42 in²
Step-by-step explanation:
[tex]\bold{METHOD\ 1:}[/tex]
[tex]\text{The formula of an area of a rectangle:}\\\\A=l\times w\\\\l-\text{length}\\w-\text{width}\\\\\text{We have:}\\\\l=6,\ w=y+4\\\\\text{Substitute:}\\\\A=6\times(y+4)\\\\\text{use the distributive property}:\ a(b+c)=ab+ac\\\\A=(6)(y)+(6)(4)\\\\A=6y+24[/tex]
[tex]\text{Put}\ y=3\ \text{to the expression}\\\\A=6(3)+24=18+24=42\ in^2[/tex]
[tex]\bold{METHOD\ 2:}[/tex]
[tex]\text{Put}\ y = 3\ \text{to}\ y+4:\ 3+4=7\\\\\text{Put the values of length and width to the formula of an area of a rectangle:}\\\\A=(6)(7)=42\ in^2[/tex]
