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Vikentia [17]
3 years ago
8

The perimeter of a certain rectangle is 16 times the width. The length is 12cm more than the width. Find the length of the recta

ngle. Show work.
Mathematics
1 answer:
Bezzdna [24]3 years ago
4 0

Answer:

Step-by-step explanation:

width = w

length = 12 + w

 

Perimeter of rectangle = 2*length + 2*width since perimeter measures the distance around an object.

 

The perimeter of a certain rectangle is 16 times the width means 2 * (12 + w) + 2 *w = 16w

24 + 2w + 2w = 16w

24 + 4w = 16w  subtract 4w from both sides

24 = 12 w  divide both sides by 12

2 = w

 

width = 2 cm

length = 12 + 2 = 14 cm

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