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If 26mm stroke is drawn in height of 34mm rectange, what length of stroke can be drawn in 15mm height of the rectangle and its approx percentage value of stoke length from given stoke length?

Question: If 26mm stroke is drawn in height of 34mm rectange, what length of stroke can be drawn in 15mm height of the rectangle and its approx percentage value of stoke length from given stoke length?
Solution:

We can use the concept of similar triangles. The ratios of corresponding sides of similar triangles are equal.

Let L 1 L_1 be the length of the stroke in the 34mm height rectangle, and L 2 L_2 be the length of the stroke in the 15mm height rectangle.

The ratio of the lengths of the strokes is equal to the ratio of the heights of the rectangles:

L 1 34 = L 2 15 rac{L_1}{34} = rac{L_2}{15}

You are given that L 1 = 26 L_1 = 26 and height 1 = 34 ext{height}_1 = 34 , and you want to find L 2 L_2 when height 2 = 15 ext{height}_2 = 15 .

26 34 = L 2 15 rac{26}{34} = rac{L_2}{15}

Now, solve for L 2 L_2 :

L 2 = 26 34 × 15 L_2 = rac{26}{34} imes 15

L 2 11.4706 L_2 approx 11.4706

So, the length of the stroke that can be drawn in the 15mm height rectangle is approximately 11.4706 11.4706 mm.

Equation/Formula:

L 1 H 1 = L 2 H 2 rac{L_1}{34} = rac{L_2}{15}

Calculate L2 value

Result: 11.47059mm
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(Use L2 and L1 value to get the percentage value or using formula L2/L1 * 100)
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