Question

20. If a photo frame has a length of 7x² + 3x – 3 and a width of 5x3 + 4x2, form an expression for the perimeter of the rectangular photo frame. Enter your next step here

Answer 1

Perimeter of a frame will be likened to as the perimeter of a rectangle:

This formula is Perimeter=2(length + width)

Perimeter:

`\begin{gathered} =2\left\lbrace (7x^2+3x-3)+(5x^3+4x^2)\right\rbrace \\ =2\left\lbrace 5x^3+(7x^2+4x^2)+3x-3\right\rbrace \\ =2\left\lbrace 5x^3+11x^2+3x-3\right\rbrace \\ =10x^3+22x^2+6x-6 \end{gathered}`

Thus, the perimeter expression for the photo frame is:

`\text{Perimeter}=10x^3+22x^2+6x-6`