SOLUTION: A window panel for a sun porch consists of a 7-ft high rectangular window stacked above a square window. The windows have the same width. If the total area of the window panel is 1

Question 946895: A window panel for a sun porch consists of a 7-ft high rectangular window stacked above a square window. The windows have the same width. If the total area of the window panel is 18-ft^2, find the dimensions of each window.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
A window panel for a sun porch consists of a 7-ft high rectangular window stacked above a square window.
The windows have the same width.
If the total area of the window panel is 18-ft^2, find the dimensions of each window.
:
let x = the side of the square window (also the width of the window panel)
let h = the height of the rectangular window
then we know
x + h = 7 ft
and
x * 7 = 18 sq/ft
x = decimal equiv: 2.57 ft the panel width and sides of the square
:
replace x with 2.57 in the 1st equation
2.57 + h = 7
h = 7 - 2.57
h = 4.43 ft is the height of the rectangular window
:
"find the dimensions of each window.
square: 2.57 by 2.57
rectangle: 4.43 by 2.57
:
:
See if that checks out, find the area of both window
2.57^2 = 6.6 sq/ft
4.43*2.57 = 11.4 sq/ft
--------------------
total area: 18 sq/ft

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