A long metal sheet with a width of L meters is formed into a gutter by bending up two of its sides so that the cross-section of the gutter is an isosceles trapezoid. Find the maximum value of the gutter.

Q: A waterway in a theme park has a semicircular cross section with diameter 11 ft. The boats that are…

A: Consider the figure for the water way and the boat. The circumference of the boat is the equation of…

Q: farmer who owns a field adjacent to a straight river wishes to fence a rectangular area. No fence is…

A: Given query is to find the dimensions of the rectangle.

Q: A piece of wire 10 m long is cut into two pieces. One piece is bent into a 30°-60°-90° triangle and…

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Q: has 120 m of fencing materials. He wants to put a fence around three sides of a rectangular plot of…

A: The rectangular plot of three sides with side of barn forming the fourth side is shown in the…

Q: An equilateral triangle is placed above a rectangle creating a window. There is 40 ft of materials…

A: Suppose that one side of rectangle “x” ft and other side is “y” ft.   Since “x” is also side of…

Q: A Ferris Wheel is being built at the park. The Ferris wheel is elevated 1 meter off the ground. Its…

A: Solution is given below:

Q: Paula plans to build a rectangular closure for her dogs using 140m of fencing. What is the maximum…

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Q: A homeowner wants to build a raised rectangular garden bed. The homeowner has enough lumber to…

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Q: The roof of a tunnel is a semi-deck, if the tunnel is 100 m wide and the maximum height from floor…

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Q: A farmer would like to construct a cage to separate farm animals. He has 600 meters of materials to…

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Q: A company needs to build a warehouse with perimeter 300 ft. Find the dimensions to give maximum…

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