SOLUTION: the lengths of the sides of a rectangular window have the ratio 1.1 to 1. The area of the window is 1126.4 square inches. What are the dimensions of the window?

Question 678802: the lengths of the sides of a rectangular window have the ratio 1.1 to 1. The area of the window is 1126.4 square inches. What are the dimensions of the window?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
the lengths of the sides of a rectangular window have the ratio 1.1 to 1.
The area of the window is 1126.4 square inches. What are the dimensions of the window?
:
Let x = the multiplier
then
1x = width
and
1.1x = the length
:
The area
x*1.1x = 1126.4
1.1x^2 = 1126.4
divide both sides by 1.1
x^2 = 1126.4/1.1
find the square root
x =
x = 32 inches is width
then
1.1(32) = 35.2 inches is the length
:
:
Check 35.2 * 32 = 1126.4
RELATED QUESTIONS
The length to height ratio of a rectangular window is 5 inches to 4 inches. What is the... (answered by richwmiller)

A rectangular window pane is 12 square feet. The width of the window pane is 1 foot less... (answered by amarjeeth123)

A rectangular window has a perimeter of 258 inches. The width of the window is 24 inches. (answered by TimothyLamb)

A rectangular window is 10 inches longer than it is wide. If the area of the window is... (answered by checkley77)

Find the area of a rectangular window measuring 1/2 meter by 3/4 meter. (answered by rfer)

1. The length of a rectangular window is 5 feet more than its width, w. The area of the... (answered by Alan3354,MathLover1)

The height of a rectangular window is 1.5 times its width. The window is 2400 square... (answered by checkley77)

A broken rectangular shaped window is being replaced. It measures 24 inches by 18 inches. (answered by ikleyn)

Area of a rectangular window is to be 306 square centimeters. If the length exceeds the... (answered by edjones,mananth)