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?

Relax

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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