Question 1206410


given:

{{{A=330}}} in^2

since {{{A=L*W}}}, we have

{{{L*W=330}}}...solve for{{{ L}}}

{{{L=330/W}}}.....eq.1


{{{P=74}}} in

since {{{P=2(L+W)}}}, we have

{{{2(L+W)=74}}}

{{{L+W=74/2}}}

{{{L+W=37}}}.......solve for {{{L}}}

{{{L=37-W}}}.......eq.2


from eq.1 and eq.2 we have

{{{330/W=37-W}}}.......solve for{{{ W}}}

{{{330=37*W-W^2}}}

{{{W^2-37W+330=0}}}....factor

{{{(W - 22) (W - 15) = 0}}}

=> {{{W=22in}}} or{{{W=15in}}}=>preferred for width


go to

{{{L=37in-W}}}.......eq.2, substitute {{{W}}}

{{{L=37in-15in}}}

{{{L=22in}}}


answer: the dimensions of the cutting board are {{{22in }}}by {{{15in}}}