An architect is designing a composite window by attaching a semicircular window on top of a rectangular window, so the diameter of the top window is equal to and aligned with the width of the bottom window. If the architect wants the perimeter of the composite window to be 20 m, what dimensions should the bottom window be in order to create the composite window with the largest area?

Q: A rectangular lot is to be enclosed with a fence. A building is on one side of the lot, so it won't…

A: Let, the dimension is x and y and the building is on the x length side. Therefore, fence length is…

Q: A lot is in the form of a parallelogram whose shorter diagonal is perpendicular to its 50 meters…

A: We have to determine the area and perimeter of the lot.

Q: An equilateral triangle has a perimeter numerically equal to its area, which is not zero. Determine…

A: Let the length of side be ' a '

Q: A rectangular lot is to be enclosed with two types of fence. Two opposite sides must receive a…

A: It is given that the rectangular plot is to be enclosed with two types of fence. Let x be the length…

Q: Consider the problem of finding the dimensions of the rectangular garden of area 100 square meters…

A: First derivative of a function is calculated to find the critical points where the value of the…

Q: Jane, an architect, is designing a skyscraper that will become part of the New York City skyline.…

A: Assume height of building to be h ft and difference in width of building and foot print to be x ft.…

Q: A farmer wishes to fence off a rectangular field with 1000 ft of fencing. If the long side of field…

A: Here is the solution of the given problem. Application of derivative. Maximum and minimum.  Critical…

Q: A box-shaped observation terrarium is to be constructed where: the base, left, and right sides of…

A: The sheet of metal starts with the dimensions 8 meters front-to-back by 7 meters left-to-right The…

Q: An architect is designing a composite window by attaching a semicircular window on top of a…

A:

Q: The Central Park Zoo needs to build a rectangular area of 225 sq. feet to holda zebra, a lion, a…

A:

Q: A garden has the shape of a right-angled triangle with sides of length 30, 40 and 50. A straight…

A: Step 1:

Q: Find the dimension of the largest side of a rectangular boc that can be fitted to a triangular space…

A: Let △ABC be the required triangle. If we observe the dimensions of the triangle 15 inches, 36 inches…