Question 764631

one correction first: if you are looking for area, answer choices are wrong, 
a)506m
b)748m
c)253m
d)46m

it should be {{{m^2}}} in each choice above


 a rectangular field has a length {{{L}}} and a width {{{W}}}

a perimeter {{{P=2L+2W}}}

area {{{A=L*W}}}

if a width of {{{W=11m}}} and a perimeter of {{{P=68m}}}, then

{{{68m=2L+2*11m}}}...solve for {{{L}}}

{{{68m=2L+22m}}}

{{{68m-22m=2L}}}

{{{46m=2L}}}

{{{46m/2=L}}}

{{{highlight(23m=L)}}}

now we can calculate the area:

{{{A=23m*11m}}}

{{{A=253m^2}}}

so, you answer is c) {{{253m^2}}}