write two expressions for the perimeter of the figure.\nnote: the figure is not drawn to scale.\n(a) use all…

write two expressions for the perimeter of the figure.\nnote: the figure is not drawn to scale.\n(a) use all five side lengths.\nperimeter = □ + □ + □ + □ + □\n(b) simplify the expression from part (a).\nperimeter = □

write two expressions for the perimeter of the figure.\nnote: the figure is not drawn to scale.\n(a) use all five side lengths.\nperimeter = □ + □ + □ + □ + □\n(b) simplify the expression from part (a).\nperimeter = □

Answer

Explanation:

Step1: Write the perimeter using all side lengths

The perimeter of a polygon is the sum of all its side lengths. So, perimeter (=9 + 3x+5 + 6+9x)

Step2: Simplify the expression

Combine like - terms:

  • Combine the constant terms: (9 + 5+6=20)
  • Combine the (x) - terms: (3x+9x = 12x)

So, the simplified perimeter is (12x + 20)

Answer:

(a) perimeter (=9+3x + 5+6+9x) (b) perimeter (=12x + 20)