Question 131750
Let x= width
x+3= length
x(x+3) = original area


x+2= increased width
x+3+2=x+5= increased length
(x+2)(x+5)= larger area
x^2+7x+10 = larger area


Original area + 26 = Larger area
{{{x^2+3x+26=x^2+7x+10}}}



Subtract {{{x^2}}} from each side
{{{3x+26=7x+10}}}
{{{-4x=-16}}}
{{{x=4 cm}}}  width
{{{x+3=7 cm}}} length


Original rectangle= 4x7=28 sq cm

Increased rectangle = 6x9=54 sq cm


Check:  Difference in the area is 26 sq cm.


R^2