SOLUTION: A window is in the shape of a rectangle surmounted by a semicircle. The height of the rectangle is 0.4m more than the width. The total area of the window is 10.4m2 find the width a
Algebra.Com
Question 1104847: A window is in the shape of a rectangle surmounted by a semicircle. The height of the rectangle is 0.4m more than the width. The total area of the window is 10.4m2 find the width and height of the window.
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let the width of the rectangle = m
The height of the rectangle is m
---------------------------------------
The area of the semicircle = m2
The total area is:
m2
m2
Rounding off:
Use quadratic formula
and
-----------------------
The height, including semicircle is
----------------------------------
width = 2.586 m
height = 4.279 m
-------------------
check:
Looks close enough -error due to rounding off
RELATED QUESTIONS
A Norman window has the shape of a rectangle surmounted by a semicircle. If the perimeter (answered by Theo)
A Norman window has the shape of a rectangle surmounted by a semicircle. If the perimeter (answered by ankor@dixie-net.com)
A Norman window has the shape of a rectangle surmounted by a semicircle. If the perimeter (answered by greenestamps)
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 Jc0110)
A Norman window has the shape of a rectangle surmounted by a semicircle of diameter equal (answered by htmentor)
A Nico window consists of rectangle surmounted by a semicircle. If the perimeter of a... (answered by ikleyn)
A Norman window has the shape of a rectangle surmounted by a semicircle. (Thus the... (answered by ankor@dixie-net.com)
A norman window consist of a rectangle surmounted by a semicircle. For the window shown... (answered by josgarithmetic)