Questions: A glass window is to be placed in a house. The window consists of a rectangle, 14 feet high by 7 feet wide, with a semicircle at the top. Approximately how many feet of stripping, material to be wrapped around the exterior edge of the window, will be needed to frame the window?

Solution Steps

The rectangular part of the window is 14 feet high and 7 feet wide. We need the perimeter of three sides: two vertical sides (14 ft each) and the bottom side (7 ft). Perimeter of rectangle = 2 * 14 ft + 7 ft = 28 ft + 7 ft = 35 ft.

The diameter of the semi-circle is the same as the width of the rectangle, which is 7 feet. The circumference of a full circle is π * diameter. Since we only need the curved part of the semi-circle, we take half of the full circle's circumference. Circumference of semi-circle = (π * 7 ft)/2 = (3.14 * 7 ft)/2 ≈ 10.99 ft.

The total stripping needed is the sum of the rectangular perimeter and the semi-circular circumference. Total stripping = 35 ft + 10.99 ft ≈ 45.99 ft.

Final Answer