length of a rectangle is 4 inches less than its width, and its perimeter is 24 inches. Which of the following systems of equations best represents the length and width of the rectangle?

length= 8 width = 4

Step-by-step explanation:

24-8=16

16/2=8

8+8+4+4=16+8=24

geometry: triangles

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answers archive

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+

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