Alarge suburb currently uses square signs to notify drivers of nearby bike lanes. in order to increase the visibility of these signs, the mayor wants to increase their dimensions. the new signs will be 12 inches longer and 8 inches taller than the current signs. suppose x represents the side measure of the current signs, in inches. determine the equation that represents the area, y, in square inches, of the new signs.

square inches

Step-by-step explanation:

If dimension of signs are increased then new sides will be x+8 and x+12

It will change fom square into a rectangle So, its area will be given by :

AREA (y) = (x+8)(x+12)

square inches

geometry: triangles

solvers

lessons

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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