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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

Perimeter is given by the formula: P = 2L + 2W and in this case you have 34 as the perimeter then you'll have: 34 = 2L + 2W ----equation 1 given that the diagonal is 13 and using pythagorean theorem you'll have: 13² = L² + W² ---equation 2 dividing equation 1 by 2 and rearranging you'll have: 34 = 2L + 2W 17 = L + W L = 17 -W ----equation 3 substitute equation 3 to equation 2 13² = L² + W² 13² = (17 - W)² + W² 13² = 17² - 34W + W² + W² 2W² - 34W + 17² - 13² = 0 2W² - 34W +120 = 0 dividing the whole equation by 2 W² - 17W + 60 = 0 (W - 12) (W - 5) = 0 W = 12, W = 5 taking W=5 and substituting it to equation 3 L = 17 - W L = 17 - 5 L =12 (why i chose 5? simply because we have that idea that in most cases, the length is longer than the width) Area of the rectangle then is A = LW A = 12(5) A = 60 square units