Sophia wants to buy a tablet so she can watch tv and play games as well as complete her school work. she is researching all her different options and the tablet she chose says the length is (-4x^2 - 2x -3)cm and the width is (4x +3) cm. what is the area of sophias tablet.

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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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