Answer:
[tex]Lenght: 68\ in\\\\Width: 40\ in[/tex]
Step-by-step explanation:
The formula for calculate the area of a rectangle is:
[tex]A=lw[/tex]
Where "l" is the lenght and "w" is the width.
You know that the ratio of the sides of the rectangular window is:
[tex]1.7:1[/tex]
Then, let be [tex]x[/tex] the width (in inches) of the rectangular window and [tex]1.7x[/tex] the lenght (in inches) of the rectangular window.
Knowing that the area of the window is 2,720 square inches, you can know that:
[tex](1.7x)(x)=2,720[/tex]
Now you must solve for "x" in order to find the width:
[tex](1.7x)(x)=2,720\\\\1.7x^2=\\\\x=\sqrt{\frac{2,720}{1.7} }\\\\x=40[/tex]
Finally, the lenght is:
[tex]1.7x=1.7(40)=68[/tex]
