<PRE><B>Question 258991</B>
WHat we are doing is adding an x to the left and the right of the length and then an x to the top and bottom of the width.
The original dimensions were
22 by 17.
The new dimensions are
(22 + 2x) by (17 + 2x).
we are given perimeter information, so we have
(i) {{{2(22+2x) + 2(17+2x) = 102}}}
step 1 - Solving for x, use distributive property to get
(ii) {{{44 + 4x + 34 + 4x = 102}}}
step 2 - combine like terms to get
{{{78 + 8x = 102}}}
step 3 - subtract 78 to get
 (iii) {{{8x = 24}}}
divide to get
(iv) {{{x = 3}}}
We have added 6 inches to the length and width, or the new dimensions are 28 x 23</PRE>