When a border of uniform width is placed around a 9x 12 m carpet, the area is increased by 100 sq m. What is the width
of the border?

21/58.

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geometry: triangles

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call the larger triangle abc

then the smaller triangle cde is similar to abc (all angles are equal, aaa).  

ab is the side that is 36, and we wish to find de, the side corresponding to ab

area_cde = area_abc - area_cde --> area_abc / area_cde = 2

let x=length of de

ratio of areas = (ratio of sides)^2

+2+=+%2836%2fx%29%5e2+

+2+=+1296%2fx%5e2+

++x%5e2+=+1296%2f2+=+648+

25.45584

144.50

step-by-step explanation:

21.5 x 13.4=288.10 divide by 2