What is the combined perimeter of these two rectangles?
2 answers:
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:
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
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