------------------------------------------------------------------------------------------ Information Given ------------------------------------------------------------------------------------------ Perimeter of a Parallelogram = 2l + 2w Given that length = 6 feet and Perimeter is no less that 40 feet
------------------------------------------------------------------------------------------ Construct the inequality ------------------------------------------------------------------------------------------ 2(6) + 2w ≥ 40
12 + 2w ≥ 40
------------------------------------------------------------------------------------------ Take away 12 from both sides ------------------------------------------------------------------------------------------ 2w ≥ 40 - 12
2w ≥ 28
------------------------------------------------------------------------------------------ Divide by 2 on both sides ------------------------------------------------------------------------------------------ w ≥ 14
The smallest possible value of the width is 14 feet
------------------------------------------------------------------------------------------ Answer (a) inequality: 12 + 2w ≥ 40 (b) Smallest value of w = 14. ------------------------------------------------------------------------------------------
