A window is shaped like a rectangle whose perimeter is 400 inches the length is 7 times as long as the width find the length and the width?
If x = width, then length = 7x
400 = 2x + 2(7x)
Solve for x.
To find the length and width of the window, we can use the given information about the perimeter.
Let's assume the width of the window is represented by "x" inches.
According to the given information, the length of the window is 7 times as long as the width. Therefore, the length can be represented as 7x inches.
The formula for the perimeter of a rectangle is:
Perimeter = 2(length + width)
Using this formula and substituting the given values, we can write the equation:
400 = 2(7x + x)
Simplifying the equation:
400 = 2(8x)
400 = 16x
Dividing both sides of the equation by 16, we get:
x = 25
Hence, the width of the window is 25 inches.
To find the length, we can substitute the value of x back into the equation:
Length = 7x = 7 * 25 = 175
Therefore, the length of the window is 175 inches.
In conclusion, the width of the window is 25 inches and the length is 175 inches.