Question 1064739
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Let x be the width



"The length of a rectangular mailing label is 5 centimeters less than twice the width" means that the length is 2x-5



We have these three facts:
W = x
L = 2x-5
P = 38



We'll use those three facts above to find x. The formula used is the rectangle perimeter formula



P = 2*(L+W)



38 = 2*(x+2x-5) ... substitute (see equations above)



38 = 2*(3x-5)



38 = 2*(3x)+2(-5)



38 = 6x-10



6x-10 = 38



6x-10+10 = 38+10



6x = 48



6x/6 = 48/6



x = 8



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We know now that x = 8. So the width is 8 cm. Recall that at the top we let x = width.



The length is L = 2x-5 = 2*8-5 = 16-5 = 11 cm



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In summary, the dimensions are <font color=red>11 cm by 8 cm</font>



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