Write and solve an inequality to find the values of x for which the perimeter of the rectangle is less than

116.

A rectangle has a width of x and a length of x+4

The perimeter = 2 (W + L) ......so

2( x + x + 4) < 116 divide both sides by 2

x + x + 4 < 58 subtract 4 from both sides, simplify the left side

2x < 54 divide both sides by 2, again

x < 27 ....... so the width is < 27 and the length is < 31

thanks!