Using this formula, compute the length of a rectangle with a perimeter of 40.2in and width of 6.7in.

Question

the formula is

P= 24

L= 3+ W

P= 2L + 2W

24= 2 (3+W) + 2W

24= 6 + 2W + 2W

24= 6+ 4W

18 = 4W

W= 18/4 = 9/4 = 4.5

L= 3 + W= 3 + 4.5 = 7.5

what’s the answer & how can i show my work for this?

Answer 1

Since the width (W) and length (L) are still related in the same way (where L = 3+W), you can still use the equation P = 2(3+W) + 2W, which is simplified to P= 6 + 4W. With this formula, you can substitute 40.2 for P since P= 40.2, and solve for W. W = 8.55, which means that L = 11.55. To check your answer, plug those values into your perimeter equation (the third equation in your question).