The area of a rectangle with width 3x is given by the expression 12x² - 15x. write a polynomial expression for the length of the rectangle. (hint: area of a rectangle is length*width)

the area of a triangle with height 4x is given by the expression 16x² - 4x. write a polynomial expression for the base of the triangle. (hint: area of a triangle is 1/2base*height)

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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+

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