# 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.

1 answer

###### 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.

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.

## Answers

Step-by-step 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 >= 40If the length is given by 6 feet, then you can further simplify the inequality to be12+2w >= 40 --> w >=14

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