Question

A rectangle has a length of 6 and a width of y + 4. Use your area expression to find the area of the rectangle when y = 3 inches. Show your work.

Answer 1

A = 42 in²

Explanation:

`\bold{METHOD\ 1:}`

`\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`

`\text{Put}\ y=3\ \text{to the expression}\\\\A=6(3)+24=18+24=42\ in^2`

`\bold{METHOD\ 2:}`

`\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`

Answer 2

42

Explanation:

here,

if y=3 then

width is 3+4=7

We know,

Area = l*b

6*7=42 ans