A window is shaped like a rectangle whose perimeter is 294 in. The length is 6 times as long as the width. Find the length
To find the length of the window, we first need to set up an equation using the given information.
Let's assume the width of the window is "w" inches. According to the given information, the length of the window is 6 times the width. Therefore, the length can be represented as "6w" inches.
The perimeter of a rectangle is given by the formula: Perimeter = 2(length + width).
In this case, the perimeter is given as 294 inches. So, we can set up the equation as follows:
294 = 2(6w + w)
Now, let's solve this equation to find the width:
294 = 2(7w)
294 = 14w
w = 294/14
w = 21
Hence, the width of the window is 21 inches.
To find the length, multiply the width by 6:
Length = 6w
Length = 6 * 21
Length = 126
Therefore, the length of the window is 126 inches.
P = 2L + 2W
294 = 2(6W) = 2(W)
294 = 12W + 2W
294 = 14W
294/14 = W
? = W
L = 6W
294/14=21
L=6*21=126