Respuesta :

Answer:

Width = 5 cm, length = 18 cm.  Its D.

Step-by-step explanation:

Let the width of the rectangle be x.

Then the length = 3x + 3, so we have the  equation:-

Perimeter = 2* length + 2*width = 46

2x +  2(3x + 3) = 46

8x + 6 = 46

8x = 46 - 6 = 40

x = 5 cms.

so width = 5 and length = 3(5) + 3 =  18 cms.

Answer:

Length = 18cm; Width = 5 cm

Step-by-step explanation:

This is just a simple substitution problem. You got this =)

Width = x

Length = 3x + 3

Perimeter = 46

Write the formula for perimeter:

P = 2L + 2W

Substitute known values:

46 = 2(x) + 2(3x + 3)

Use the distributive property:

46 = 2x + 6x + 6

Combine like terms:

46 = 8x + 6

Subtract 6 from both sides:

40 = 8x

Divide both sides by 8:

5 = x

Now substitute x for each value:

Width = x

Width = 5

Length = 3x + 3

Length = 3(5) + 3

Length = 15 + 3

Length = 18


I really hope this helps you =)