Question

What is the combined perimeter of these two rectangles?

Answer 1

Answer:

D

Step-by-step explanation:

Perimeter is sum of all sides:

Purple rectangle:

Perimeter = 2[2x+7 + 4x+5]

= 2[6x + 12]

= 12x + 24

White rectangle:

Perimeter = 2[3x + 3x+14]

= 2[6x + 14]

= 12x + 28

Total Perimeter:

12x + 24 + 12x + 28

= 24x + 52

Answer 2

Answer:

D) 24x + 52

Step-by-step explanation:

The perimeter of the shaded rectangle

P = 2(l+w)

   = 2(4x+5  + 2x+7)

Combine like terms

   =2( 6x+12)

Distribute

   = 12x+24

The perimeter of the unshaded rectangle

P =2(l+w)

   = 2(3x+14  +3x)

 Combine like terms

    =2(6x+14)

Distribute

   =12x+28

Add  the perimeters together

12x+24+ 12x+28

Combine like terms

24x+52