Problema Solution
A portrait has dimensions of 10 inches by 60 inches and is surrounded by a frame of uniform width. If the total are (portrait plus frame is 1400 square inches, find the width of the frame.
Answer provided by our tutors
Let 'x' represent the width of the frame, x>=0.
The total area portrait plus frame is: (10 + 2x)(60 + 2x)
Thus we have have the following equation:
(10 + 2x)(60 + 2x) = 1400
........
click here to see the equation solved for x
........
x = 5 in
We need to ignore to negative solution - 40, since the width of the frame can only be positive.
The width of the frame is 5 inches.