Question

Perimeter and area polynomials

Answer 1

The combined perimeter of

2b (14y - 12)

2c (18y + 4)

2d (14y - 16), is

`P=14y-12+18y+4+14y-16`

Add the like terms

`\begin{gathered} P=(14y+18y+14y)+(-12+4-16) \\ \\ P=46y+(-24) \\ \\ P=46y-24 \end{gathered}`

The combined perimeter is (46y - 24)

The combined area of

1b (10y^2 - 27y +5)

1c (20y^2 + 11y - 3)

1d (12y^2 -24y), is

`A=10y^2-27y+5+20y^2+11y-3+12y^2-24y`

Add the like terms

`\begin{gathered} A=(10y^2+20y^2+12y^2)+(-27y+11y-24y)+(5-3) \\ \\ A=42y^2+(-40y)+2 \\ \\ A=42y^2-40y+2 \end{gathered}`

The combined area is (42y^2 - 40y + 2)