A rectangle's length is 1.25 times its width. Its perimeter is 3 times the length plus one. What are the dimensions of the rectangle?

Respuesta :

The length of rectangle is 1.67 units and width of rectangle is 1.33 units

Step-by-step explanation:

Let,

Width of rectangle = w

Length of rectangle = l = 1.25w

Perimeter of rectangle = 3l+1

We know that;

Perimeter = 2(Length + width )

[tex]3l+1=2(1.25w+w)\\3(1.25w)+1=2(2.25w)\\3.75w+1=4.5w\\1=4.5w-3.75w\\1=0.75w\\0.75w=1[/tex]

Dividing both sides by 0.75

[tex]\frac{0.75w}{0.75}=\frac{1}{0.75}\\w=1.33\ units[/tex]

Length of rectangle = 1.25w = 1.25(1.33) = 1.67 units

The length of rectangle is 1.67 units and width of rectangle is 1.33 units

Keywords: perimeter, rectangle

Learn more about rectangles at:

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