Question 1092172
<br>I picture the frame as consisting of a 5-inch wide strip on each of the four edges of the picture, plus four 5x5 inch squares in the corners.  Then if x is the width of the picture and x+7 is the length,<br>
{{{5(x+x+7+x+x+7)+4(5*5) = 470}}}
{{{5(4x+14)+100 = 470}}}
{{{20x+170 = 470}}}
{{{20x = 300}}}
{{{x = 15}}}<br>
The dimensions of the picture are 15x22; the dimensions with the frame are 25x32.<br>
Checking the answer...<br>
{{{25*32 = 800}}}  (picture plus frame)
{{{15*22 = 330}}}  (picture only)
{{{800-330 = 470}}}  (frame only)