Question 127441
Let the width be W and the length be L.
The perimeter of a rectangle is given by:
{{{P = 2L+2W}}} and this, you are told, is 26 inches.
You also know that the length L is 1 more than twice the width, W, so you can write:
{{{L = 2W+1}}} Now substitute this into the formula for the perimeter to get:
{{{26 = 2(2W+1)+2W}}} Simplify and solve for W.
{{{26 = 4W+2+2W}}}
{{{26 = 6W+2}}} Subtract 2 from both sides.
{{{24 = 6W}}} Divide both sides by 6.
{{{4 = W}}}
The width is 4 inches.
Check:
{{{P = 2L+2W}}}
{{{P = 2(2W+1)+2W}}} Substitute W = 4.
{{{P = 2(2(4)+1)+2(4)}}}
{{{P = 2(9)+8}}}
{{{P = 18 + 8}}}
{{{P = 26}}} It checks!