mei is knitting a scarf with diagonal stripes before she began she laid out the pattern on a coordinate grid where each unit represented 2 inches. On the grid the first stripe began at (2,0) and ended at (5,4). All the stripes are the same length. How many inches long is each stripe on the scarf?

Respuesta :

The length of each stripe is 10 inches.

The given parameters:

the measurement of each stripe = 2 inches

the coordinate the first stripe = (2,0) and (5,4)

To find:

  • the length of each stripe in inches

Since all stripes are of equal length, find the distance between the coordinate of the first stripe.

[tex]distance = \sqrt{(x_2-x_1)^2 +(y_2-y_1)^2} \\\\distance = \sqrt{(5-2)^2 +(4-0)^2} \\\\distance = \sqrt{9 + 16} \\\\distance = \sqrt{25} \\\\distance = 5 \ unit[/tex]

The length of the stripe = 5 x 2 inches

The length of the stripe = 10 inches

Thus, the length of each stripe is 10 inches.

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