Question

a stained glass window is to be placed in a house. the window consists of a rectangle, 6 feet high by 3 feet wide, with a semicircle at the top. approximately how many feet of stripping, to the nearest tenth of a foot, will be needed to frame the window?

Answer 1

To frame the stained glass window, we need to find the perimeter of the rectangle and the circumference of the semicircle. Then, we add these two values together to determine the total amount of stripping needed. The answer is approximately 22.71 feet, rounded to the nearest tenth of a foot.

Step-by-step explanation:

To frame the stained glass window, we need to find the perimeter of the rectangle and the circumference of the semicircle, and then add these two values together.

The rectangle has a height of 6 feet and a width of 3 feet, so its perimeter is 2(6) + 2(3) = 18 feet.

The semicircle has a radius of half the width of the rectangle, so its circumference is 1/2(2πr) = 1/2(2π(1.5)) ≈ 4.71 feet.

Adding the two values together, the total amount of stripping needed to frame the window is approximately 18 + 4.71 = 22.71 feet, rounded to the nearest tenth of a foot.