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  • 20-11-2020
  • Mathematics
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What is the length of the shortest side if the perimeter of the rectangle is 56 inches?

What is the length of the shortest side if the perimeter of the rectangle is 56 inches class=

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  • 20-11-2020

Answer: Length of Shortest Side = 12 inches

Step-by-step explanation: Length of Shortest Side = L = 3x

Length of Longest Side = W = 5x-4

Condition:

2L+2W = Perimeter

2(3x)+2(5x-4) = 56

6x+10x-8 = 56

16x-8 = 56

Adding 8 to both sides

16x = 56+8

16x = 64

Dividing both sides by 14

=> x = 4

Now,

Length of the Shortest Side = L = 3(4) = 12 inches

Length of the Longest Side = W = 5(4)-4 = 16 inches

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