Question 159731
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First {{{P=2(L+W)}}}
{{{26=2(L+W)}}} ------> {{{cross(26)13/cross(2)=cross(2)(L+W)/cross(2)}}}
{{{L+W=13}}}
{{{L=13-W}}}, EQN 1
And,
{{{A=L*W}}}, substitute EQN 1
{{{40=(13-W)(W)}}}
{{{40=13W-W^2}}}
{{{W^2-13W+40=0}}}, perfect square, can be factor out
{{{(W-5)(W-8)=0}}}
2 values, either,
{{{W[1]=5m}}}, or {{{W[2]=8m}}}
Get {{{L}}} via EQN 1:
{{{L[1]=13-W[1]=13-5=8m}}}, and {{{L[2]=13-W[2]=13-8=5m}}}
Go back Perimeter and Area to check: use either {{{(L[1])or(L[2])}}} or {{{(W[1])or(W[2])}}}
1) {{{P=2(L[1]+W[1])}}}
{{{26m=2(8+5)=2(13)}}}
{{{26m=26m}}}
2) {{{A=L[1]*W[1]}}}
{{{40m^2=(8m)(5m)}}}
{{{40m^2=40m^2}}}
Thank you,
Jojo</pre>