Question 991771

a rectangle has a base of {{{x}}} units, 
the perimeter is {{{P=(6x+10)}}}

{{{P=2base+2height}}}

{{{2x+2height=6x+10}}}

{{{2height=6x+10-2x}}}

{{{2height=4x+10}}}

{{{height=4x/2+10/2}}}

{{{height=2x+5}}}


Area of a rectangle is calculated as follows:

{{{A = base * height}}} ...since {{{base=x}}} and {{{height=2x+5}}}, we will have

{{{A =x * (2x+5)}}}

{{{A =2x^2+5x}}}