SOLUTION: A stained - glass window is being designed in the shape of a rectangle surmounted by a semicircle, as shown in the figure. The width of the window is to be 3 feet, but the height h

Algebra.Com
Question 497161: A stained - glass window is being designed in the shape of a rectangle surmounted by a semicircle, as shown in the figure. The width of the window is to be 3 feet, but the height h is yet to be determined. If 4 ft2 of glass is to be used, find the height h. (Round your answer to the nearest hundredth.)
Answer by solver91311(24713)   (Show Source): You can put this solution on YOUR website!


If you mean that the overall area of both the rectangle and the surmounting semi-circle is supposed to be 4 ft², then this is mighty weird looking stained glass window. Since you didn't provide a dimension for the diameter of the semicircle, I have to assume that it is the same as the width of the rectangle. I'm also assuming that is the missing dimension of the rectangle since it cannot possibly be the overall height of the window. The area of a semicircle with a diameter of 3 feet and therefore a radius of 1.5 feet is . That means only of the given area remains for the rectangle. Divided by 3, that leaves a height of less than feet for the rectangle part of the window -- not even 2 inches. Standing back, you probably wouldn't notice that there was a rectanglual part of the window.

John

My calculator said it, I believe it, that settles it
The Out Campaign: Scarlet Letter of Atheism


RELATED QUESTIONS

A stained-glass window is being designed in the shape of a rectangle surmounted by a... (answered by Jc0110)
A stained-glass window is being designed in the shape of a rectangle surmounted by a... (answered by solver91311)
A stained-glass window is being designed in the shape of a rectangle surmounted by a... (answered by checkley71)
A stained glass window is being designed in the shape of a rectangle surmounted by a... (answered by mananth)
Could you please help me with this question? A stained glass window is being designed (answered by scott8148)
A Norman window has the shape of a rectangle surmounted by a semicircle, as shown in the... (answered by josgarithmetic,ikleyn)
At cathedral window is built in the shape of a semicircle with a diameter of 10ft. If the (answered by josmiceli)
A Norman window is in the shape of a rectangle surmounted by a semicircle, as shown in... (answered by ankor@dixie-net.com)
A Norman window has the shape of a rectangle surmounted by a semicircle, as shown in the... (answered by math_tutor2020,josgarithmetic,ikleyn)