Respuesta :

Answer:

2x+30

Step-by-step explanation:

The perimeter of a rectangle is

P = 2(l+w)

The length is 2/3 x+10  and the width is 1/3x +5

P = 2(2/3x +10 + 1/3x +5)

Combine like terms

P = 2(2/3x + 1/3x +10+5)

   = 2(x +15)

Distribute the 2

   = 2x+30

Answer:

P = 2x + 30

Step-by-step explanation:

Perimeter equation of a rectangle: P = 2L + 2W

Substitute L with (2/3)x + 10

Substitute W with (1/3)x + 5

P = 2((2/3)x + 10) + 2((1/3)x + 5)

Start simplifying:

P = 2(2x/3 + 10) + 2(x/3 + 5)

P = (4x/3 + 20) + (2x/3 + 10)

P = 6x/3 + 20 + 10

P = 6x/3 + 30

P = 2x + 30