the length of a rectangular field is seven meters less than twice its width, the perimeter is 136 meters. what is the length and width of the field?

Question

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Answer 1

The perimeter of a rectangle is the sum of twice the length and twice the width.  Since we want to find the length and width, we assign variables for them.

 

width = x

length = 2x - 7

Perimeter = 136 m

 

 

Write an equation using the formula for perimeter and the variables.

 

2x + 2(2x - 7) = 136

 

2x + 4x - 14 = 136

 

6x - 14 = 136

 

6x = 150

  x = 25

 

 

Substitute this value of x into the width and length.

 

width = 25 m

 

length = 2(25 m) - 7 m 

          = 50 m - 7 m

          = 43 m

Answer 2

P=L+L+W+W=2L+2W=136

L+7=2W

By substituting "L+7" into the perimeter formula each time we see "2W", then you'll get:

2L+L+7=136

You can then simplify that to find your answer.