Final answer:
To find the uniform width of the frame, calculate the area of the canvas and subtract it from the total area. Set up an equation involving the dimensions of the frame and solve for the uniform width.
Step-by-step explanation:
To find the uniform width of the frame, we can start by calculating the area of the rectangular canvas picture. The area of a rectangle is found by multiplying its length and width, so the area of the canvas is 14 inches x 36 inches = 504 square inches.
Next, we need to find the area covered by both the canvas and the frame. We know that the total area is 720 square inches, so we can subtract the area of the canvas from the total area: 720 square inches - 504 square inches = 216 square inches.
Since the frame has a uniform width on all sides, the additional area it covers is equal to the same width on all four sides. Let's represent the width of the frame as 'x'. The length of the frame plus the canvas will be 14 inches + 2x, and the width of the frame plus the canvas will be 36 inches + 2x. So, we can set up the equation: (14 inches + 2x)(36 inches + 2x) = 216 square inches. Solve this equation to find the value of 'x', which will give you the uniform width of the frame.