Question

21. The Johnsons framed a family picture to hang on the wall. The perimeter of the frame is 72 inches. Use the formula P = 2 l + 2 w to find the length of the frame if the width is 14 inches. 21. The Johnsons framed a family picture to hang on the wall. The perimeter of the frame is 72 inches. Use the formula P = 2 l + 2 w to find the length of the frame if the width is 14 inches.

Answer 1

So here's the solution to the given problem above.
Given that the perimeter of the frame is 72 inches and the width is 14 inches, we are going to look for the length. The formula for perimeter is 2L + 2W.
So let us substitute the values.
P = 2L + 2w
72 = 2L + 2(14)
72 = 2L + 28
72 -28 = 2L
44 = 2L <<<divide both sides by 2
22 = L
So the length of the picture frame is 22 inches.
To check, 22 in x 2 is 44 inches + 14 x 2 is 28 inches. 28 + 44 is 72 inches.
Hope this answer helps. Thanks for posting your question.

Answer 2

P = 2l + 2w
72 = 2l + 2(14) = 2l + 28
2l = 72 - 28 = 44
l = 44/2 = 22 inches.