The Mona lisa, was completed by Leonardo da Vinci in 1506.

Question

The Mona lisa, was completed by Leonardo da Vinci in 1506. The length of the picture is 11.75 inches less than twice the width. if the perimeter of the picture is 102.5 inches, find its dimensions.

Answer 1

Hi Dalton, let W be the width of the painting. Then the length is 2W -11.75 inches. Using the formula for the perimeter of a rectangle, and the perimeter of the painting, 102.5 inches, we can find the length and the width.

 

Formula:

 

P = 2L + 2W

 

Substitute:

 

102.5 = 2(2W - 11.75) + 2W

 

Solve for W:

 

102.5 = 4W - 23.5 + 2W

 

Add 23.5 to both sides:

 

6W = 126

 

W = 21 inches

 

Length:

 

L = 2W - 11.75

 

L = 2 * 21 - 11.75

 

L = 42 - 11.75

 

L = 30.25 inches

 

Dimension of painting:

 

The Mona Lisa is 21 inches wide and 30.25 inches long.

 

Questions?