You are given a 8 8 board. the 4 corner squares are initially black, while the rest are initially white. an operation is to flip the colors of all squares in a single row or a single column. does there exist a sequence of operations to make the entire board black? if so, give an example; if no such sequence exists, explain why.

answer: .75 km

step-by-step explanation:

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+

25.45584