Question 73743
Let h=height, s=side of square base
Using the word problem as the clue to what h equals we see that
{{{h=68+3s}}}
If the sum of the height and the side is 1380 it translates to this:
{{{h+s=1380}}}
Plug in 68+3s into h
{{{(68+3s)+s=1380}}}Solve for s
{{{68+4s=1380}}}
{{{4s=1312}}}
{{{s=328}}}
So the side's length is 656 ft, use this to find the height
{{{h=68+3s}}}
{{{h=68+3(328)}}}
{{{h=68+984}}}
{{{h=1052}}}
So the height of the tower is 1,052 ft tall
Check:
{{{h+s=1380}}}
{{{1052+328=1380}}}
{{{1380=1380}}}works