Problema Solution
Judy decided to frame a picture of a photograph of her and her boyfriend. She wanted a frame 3 inches longer than it was wide. The frame she chose extended 1.5 inches beyond the photo on each side. Find the outside dimensions of the frame if the area of the photograph itself is 70 inches squared.
Answer provided by our tutors
let
l = the length of the frame, l>0
w = the width of the frame, w>0
t = 1.5 in the extension on each side
She wanted a frame 3 inches longer than it was wide
l = w + 3
the area of the photograph is 70 in^2
(l - 2t)(w - 2t) = 70
plug l = w + 3 and t = 1.5 into the last equation
(w + 3 - 2*1.5)(w - 2*1.5) = 70
by solving we find
w = 10 in
click here to see the step by step solution of the quadratic equation
l = 10 + 3
l = 13 in
the outside dimensions of the frame are 13 inches in length and 10 inches in width.