Question

The perimeter of a parallelogram must be no less than 40 feet. The length of the rectangle is 6 feet. What are the

possible measurements of the width?
a. Write an inequality to represent this problem. Use w to represent the width of the parallelogram. (Hint: The formula
for finding the perimeter of a parallelogram is P = 21 + 2 w.
b. What is the smallest possible measurement of the width? Justify your answer by showing all your work.

Answer 1

Explanation:

If you know that your perimeter must be no less than 40 feet, you can say that P >= 40 ft. Since P is given by P=2l+2w, you can combine the two equations into a single inequality:

2l+2w >= 40

If the length is given by 6 feet, then you can further simplify the inequality to be

12+2w >= 40 --> w >=14