Problema Solution
A large painting in the louvre museum in paris, france is 3 feet longer than it is wide. If the wooden frame is 12 inches wide and the area of the picture and frame is 209 square feet, find the dimensions of the painting
Answer provided by our tutors
let
l = the length of the painting, l>0
w = the width of the painting, w>0
A large painting in the louvre museum in paris, france is 3 feet longer than it is wide:
l = w + 3
the wooden frame is 12 inches = 1 ft wide and the area of the picture and frame is 209 square feet:
(w + 2*1)(w + 2*1) = 209
plug l = w + 3 into the last equation:
(w + 3 + 2*12)(w + 2*12) = 209
by solving we find:
w = 12.46 ft
click here to see the step by step solution of the equation:
l = 12.46 + 3
l = 15.46 ft
the dimensions of the painting are 12.46 ft and 15.46 ft.