The longer sides of an rectangle are 3 times as long as the shorter sides. If the perimeter is 100 ft, what are the dimensions of the rectangle
P = 2L + 2W
100 = 2(3W) + 2W
100 = 8W
12.5 = W
To find the dimensions of the rectangle, we can set up an equation based on the given information.
Let's assume that the length of the shorter side is 'x', then the length of the longer side would be 3 times 'x', which is 3x.
The formula for the perimeter of a rectangle is given by:
Perimeter = 2 * (Length + Width)
Substituting the given values, we get:
100 = 2 * (x + 3x)
Simplifying the equation, we have:
100 = 2 * 4x
Dividing both sides of the equation by 2, we have:
50 = 4x
Finally, divide both sides of the equation by 4, we get:
x = 12.5
So, the length of the shorter side is 12.5 ft and the length of the longer side is 3 * 12.5 = 37.5 ft.