The lengths of the sides of a rectangular window have the ratio 1.5 to 1. The area of the window is 1,350 square inches. What are the dimensions of the window?
(1 point)
Responses
30 inches by 45 inches
30 inches by 45 inches
30 inches by 60 inches
30 inches by 60 inches
30 inches by 90 inches
30 inches by 90 inches
30 inches by 22.5 inches
We can set up the equation L/W = 1.5/1 and the equation L * W = 1350, where L represents the length of the window and W represents the width of the window.
From the first equation, we can solve for L in terms of W by multiplying both sides by W:
L = 1.5W
Substituting this into the second equation, we get:
(1.5W) * W = 1350
1.5W^2 = 1350
W^2 = 900
W = 30
Substituting this value back into the first equation, we get:
L = 1.5 * 30 = 45
Therefore, the dimensions of the window are 30 inches by 45 inches.