Question 157158
If they are similar, then {{{l[1]/w[1] = l[2]/w[2]}}}
{{{A[1] = l[1]*w[1]}}}
{{{32 = l[1]*4}}}
{{{l[1] = 8}}}in
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{{{A[2] = l[2]*w[2]}}}
{{{288 = l[2]*w[2]}}}
{{{l[2] = 288/w[2]}}}
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{{{l[1]/w[1] = l[2]/w[2]}}}
{{{8/4 = l[2]/w[2]}}}
{{{2 = (288/w[2])/w[2]}}}
multiply both sides by {{{w[2]}}}
{{{2w[2] = 288/w[2]}}}
multiply both sides by {{{w[2]}}} again
{{{2w[2]^2 = 288}}}
{{{w[2]^2 = 144}}}
{{{w[2] = 12}}}
{{{l[2] = 288/w[2]}}}
{{{l[2] = 288/12}}}
{{{l[2] = 24}}} in answer
Check:
{{{288 = l[2]*w[2]}}}
{{{288 = 24*12}}}
{{{288 = 288}}}
OK