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Hi there! Have questions about your homework? At Brainly, there are 60 million students who want to help each other learn. Questions are usually answered in less than 10 minutes. Try it for yourself by posting a question! :D

We first calculate the inside area: 6 cm x 11 cm = 66 cm^2. The total area of the frame is: 28 cm^2 + 66 cm^2 = 74 cm^2. We assume that the Length of the Frame is 11 + 2x, where x is the width of the frame area. And the Width of the frame is 6 + 2x. Now we calculate x first: (11 + 2x)(6 + 2x) = 74 --> 66 + 22x + 12x + x^2 = 74 --> x^2 + 34x - 8 = 0 --> X = 0.2337 and -34.2337. We use 0.2337 since there is no negative width. Width = 6 + 2(0.336) = 6.4674 cm.

So we get: 66 + 28 = (6 + 2x)(11 + 2x) --> 94 = 66 + 12x + 22x + 4x^2 --> 4x^2 + 34x - 28 = 0 -->X = 0.7562, -9.2562. I realized I was wrong earlier. Anyway, to get the L of the Illustration board: 11 + 2(0.7562) = 12.5 cm and W: 6 + 2(0.7562) = 7.5 cm.