The shape of Colorado is nearly a rectangle. The width is 100 miles less than the length. The perimeter is
about 1320 miles. Find the length and width of Colorado.

 width = 280 miles, length = 380 miles

Step-by-step explanation:

width: L - 100

length: L

Perimeter = 2(Length) + 2(width)

      1320 = 2(L)            + 2(L-100)

      1320 = 2L              + 2L - 200

      1320 =           4L            - 200

      1520 =           4L

       380 =              L

width: L - 100 ---> 380 - 100 = 280

length: L        ---> 380

Length = 380 miles

Width = 280 miles

Step-by-step explanation:

Width: w

Length: w+100

Perimeter = 2(length + width)

1320 = 2(w + w+100)

660 = 2w + 100

2w = 560

w = 280

w + 100 = 380

Length = 380 miles

Width = 280 miles

step-by-step explanation:

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+

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