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 and the width
The three sides of a triangle are x - 1, x, and x + 1 meters. Solve for “x” taking the perimeter of the triangle as 18 meters
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To find the length and width of the window, we can set up a system of equations based on the given information.
Let's say the width of the window is 'w'.
Given that the length is 6 times as long as the width, we can say that the length of the window is 6w.
The perimeter of a rectangle is given by the formula: perimeter = 2(length + width)
So, we can set up the equation: 294 = 2(6w + w)
Simplifying this equation, we get: 294 = 2(7w)
Now, divide both sides by 2 to solve for 'w': 147 = 7w
Dividing both sides by 7, we find: w = 21
So, the width of the window is 21 inches.
To find the length, we can substitute the value of 'w' back into the equation for the length: Length = 6w
Length = 6(21) = 126
Therefore, the length of the window is 126 inches.
In summary, the width of the window is 21 inches and the length is 126 inches.