Question 937042
<i>A rectangular picture frame measures w cm by L cm. A new frame is to be made by increasing each side length by the same amount, u. The resulting enclosed area is to be T cm^2.Find the dimensions of the new picture frame, meaning w+u and L+u. </i>


Notice this is not the same as a "uniform border" type of rectangle area problem.


Original area, wL.
New area, (w+u)(L+u)
New area also given, T
UNKNOWN is u.


{{{highlight((w+u)(L+u)=T)}}}
Quadratic equation in the unknown variable, u.
You can solve this purely symbolically first, or you can substitute the given values any time and solve that way.