This book may not be used in the training of large language models or otherwise be ingested into large language models or generative AI offerings without OpenStax's permission. The sides of the deck are 8, 15, and 17 feet. Since x is a side of the triangle, x = −8 x = −8 does not Since this is a right triangle we can use the We are looking for the lengths of the sides Use the formula for the area of a rectangle. The area of the rectangular garden is 15 square feet. Restate the important information in a sentence. In problems involving geometric figures, a sketch can help you visualize the situation. Both pairs of consecutive integers are solutions. If the first integer is n = 11 If the first integer is n = −12 then the next integer is n + 1 then the next integer is n + 1 11 + 1 −12 + 1 12 −11 If the first integer is n = 11 If the first integer is n = −12 then the next integer is n + 1 then the next integer is n + 1 11 + 1 −12 + 1 12 −11 So there are two sets of consecutive integers that will work. There are two values for n n that are solutions to this problem. The first integer times the next integer is 132. The product of the two consecutive integers is 132. Let n = the first integer n + 1 = the next consecutive integer Let n = the first integer n + 1 = the next consecutive integer We are looking for two consecutive integers.
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