The length of a rectangle is 3 times the width. The perimeter is 96 cm. Find the width and length.
Do this way the same way that Damon and I showed you.
http://www.jiskha.com/display.cgi?id=1456957524
To find the width and length of a rectangle, we can start by setting up two equations using the given information.
Let's denote the width of the rectangle as "w" cm.
According to the problem, the length of the rectangle is 3 times the width, so we can write it as "l = 3w" cm.
The perimeter of a rectangle is given by the formula:
Perimeter = 2 * (Length + Width)
Substituting the values into the equation, we have:
96 = 2 * (3w + w)
Simplifying the equation, we get:
96 = 2 * 4w
48 = 4w
w = 12
Therefore, the width of the rectangle is 12 cm.
The length of the rectangle can be found by substituting the value of the width into the expression we found earlier:
l = 3w
l = 3 * 12
l = 36
Hence, the length of the rectangle is 36 cm.