Respuesta :

thebecks

Answer:

width = 10 yds

Step-by-step explanation:

perimeter = 2L + 2W

74 = 2(27) + 2W

74 = 54 + 2W

subtract 54 from both sides of the equation:

2W = 20

divide both sides by 2:

W = 10

The width of the yard whose length is 27 yards and perimeter is 74 yards is evaluated to be 10 yards

How to find the perimeter of a rectangle?

For a rectangle with length and width L and W units, we get:

Perimeter of the rectangle = [tex]2(L + W) \: \rm units[/tex]

For this case, let we assume that:

The width of the considered rectangular field = W yards

Then, as we're provided that:

  • Perimeter of the rectangular field = 74 yards
  • Length of the rectangular field = 27 yards.

Putting these in the formula for perimeter of a rectangle, we get;

[tex]Perimeter = 2( L + W)\\74 = 2(27 + W)\\\\\text{Dividing both the sides by 2}\\\\\dfrac{74}{2} = \dfrac{2(27+W)}{2}\\\\37 = 27 + W\\\\\text{Subtracting 27 from both the sides}\\\\37 - 27 = W\\W = 10 \: \rm yards[/tex]

Thus, the width of the yard whose length is 27 yards and perimeter is 74 yards is evaluated to be 10 yards

Learn more about perimeter of a rectangle here:

https://brainly.com/question/14073514

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