Question

A rectangular picture frame has the dimensions shown in

the figure. Write a polynomial that represents the perimeter
of the frame.
|3x
+1
5X-2

Answer 1

86

Step-by-step explanation:

86

Answer 2

The polynomial representing the perimeter of the rectangular frame with sides labeled 3x + 1 and 5x - 2 is 16x - 2.

Step-by-step explanation:

To write a polynomial that represents the perimeter of a rectangular frame with the given dimensions, we need to sum the lengths of all four sides.

The perimeter (P) of a rectangle is given by twice the width (w) plus twice the length (l), which can be expressed as P = 2w + 2l. Given the dimensions are labeled as 3x + 1 for the width and 5x - 2 for the length, the polynomial for the perimeter is:

P = 2(3x + 1) + 2(5x - 2)

Expanding the parentheses:

P = 2×3x + 2×1 + 2×5x - 2×2

P = 6x + 2 + 10x - 4

Combining like terms:

P = (6x + 10x) + (2 - 4)

P = 16x - 2

So, the polynomial representing the perimeter of the picture frame is 16x - 2.