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A ladder 10 meters long is leaning against a wall, reaching a height of 8 meters. How far is the base of the ladder from the wall?A rectangles length is triple its width, and its perimeter is 64 cm. Find the area of the rectangle.Perimeter = 2(length + width) = 2(3w + w) = 8w = 64, so w = 8 cm.#### 25.131. A circle has a circumference of 31.4 cm. What is its radius?A rectangle has a perimeter of 50 cm and a length that is twice its width. What are the dimensions of the rectangle?#### 8.33 cm (width), 16.67 cm (length)A geometric sequence has a first term of 5 and a common ratio of 3. What is the 4th term?If the probability of event A is 0.4 and event B is 0.5, and they are independent, calculate the probability of both A and B occurring.A train travels 150 miles in 3 hours. If it continues at the same speed, how long will it take to travel 350 miles?A rectangle has a length that is twice its width. If the perimeter of the rectangle is 36 meters, find its area.