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The length of a rectangle is 4 inches shorter than its width. The perimeter of the rectangle is 80 inches. What are the length and width of the rectangle? Drag the answers into the boxes to correctly complete the statements.

Respuesta :

Answer:

  • L = 16 in.
  • B = 24 in.

Step-by-step explanation:

We know that:

  • L = B + 4
  • Perimeter = 80 in. = 2L + 2B

Work:

  • => 2L + 2B = 80 in.
  • => 2(B + 4) + 2B = 80 in.
  • => 2B + 8 + 2B = 80 in.
  • => 4B + 8 = 80 in.
  • => 4B = 72 in.
  • => B = 24 in.
  • => 2L + 2(24) = 80 in.
  • => 2L + 48 = 80 in.
  • => 2L = 32 in.
  • => L = 16 in.

Hence, the answers are:

  • L = 16 in.
  • B = 24 in.

[tex]BrainiacUser1357[/tex]

Lanuel

1. The length of the rectangle is equal to 18 inches.

2. The width of the rectangle is equal to 22 inches.

Given the following data:

  • Perimeter of rectangle = 78 feet.
  • L = W-4

To calculate the length and width of the rectangle:

Formula for the perimeter of a rectangle.

Mathematically, the perimeter of a rectangle is given by the formula;

[tex]P=2(L+W)[/tex]

Where:

  • P is the perimeter of a rectangle.
  • L is the length of a rectangle.
  • W is the width of a rectangle.

Substituting the parameters into the formula, we have;

[tex]80=2(W-4+W)\\\\80=2(2W-4)\\\\80=4W-8\\\\4W=80+8\\\\4W=88\\\\W=\frac{88}{4}[/tex]

Width, W = 22 inches.

For the length:

[tex]L=W-4\\\\L=22-4[/tex]

Length, L = 18 inches.

Read more on perimeter of a rectangle here: https://brainly.com/question/17297081

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