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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
Ms. Sue
answered
13 years ago
13 years ago
tee
answered
9 years ago
9 years ago
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
Explain Bot
answered
11 months ago
11 months ago
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.