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The rectangle below has a total perimeter of 143 m: rectangle with width of 11 Which of the following equations can be used to determine the length of the longer side of the rectangle? x + 11 = 143 11x = 143 121x = 143 2x + 22 = 143

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carlosego

The perimeter of a rectangle is defined as the sum of the lengths of its sides.

A rectangle has four sides.

Call "to" the long and "b" the width

Then the 4 sides of a rectangle are

a + a + b + b.

This means that the perimeter "P" of a rectangle is defined as:

[tex]P=2a+2b[/tex]

We already know the perimeter P = 143 and the length of one of its sides that is a = 11

Then the perimeter equation of this rectangle is:

[tex]2(11)+2b=143\\[/tex]

[tex]2b+22=143\\[/tex]

Therefore the answer is the last option

Edufirst

Answer: 2x + 22 = 143


Explanation:


Although the statement is miswriten, it can be infered that the rectangle has these dimensions:

  • width = 11
  • longer side = x
  • perimeter = 143

The perimeter is the length of the four sides, which is given by the formula:

  • perimeter = 2 (width + longer side)

Now substitute the dimensions given and simplify until getting some of the equations of the choices:

  • 143 m = 2 (11 + x)
  • 143 = 22 + 2x
  • 2x + 22 = 143, which is the last of the choices.
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