Question

the lengths of the side of a rectangular window have the ratio 1.7 to 1 the area of the window is 2,720 sqaure inches what are dimensions of the window

Answer 1

Answer:

$Lenght: 68\ in\\\\Width: 40\ in$

Step-by-step explanation:

The formula for calculate the area of a rectangle is:

$A=lw$

Where "l" is the lenght and "w" is the width.

You know that the ratio  of the sides of the rectangular window is:

$1.7:1$

 Then, let be $x$ the width (in inches) of the rectangular window and $1.7x$ the lenght (in inches) of the rectangular window.

Knowing that the area of the window is 2,720 square inches, you can know that:

$(1.7x)(x)=2,720$

Now you must solve for "x" in order to find the width:

$(1.7x)(x)=2,720\\\\1.7x^2=\\\\x=\sqrt{\frac{2,720}{1.7} }\\\\x=40$

Finally, the lenght is:

$1.7x=1.7(40)=68$