-The length of a rectangle is equal to triple the width. Which system of equations can be used to find the dimensions of the rectangle if the perimeter is 86 centimeters?

Answer 1

Let's denote the width of the rectangle as x and the length as 3x (since the length is equal to triple the width).

The perimeter of a rectangle can be calculated using the formula:
Perimeter = 2(length + width)

In this case, the perimeter is given as 86 centimeters. So we have:

86 = 2(3x + x)

Simplifying this equation gives us:

86 = 2(4x)

Dividing both sides by 2 gives:

43 = 4x

Finally, dividing both sides by 4 gives:

x = 10.75

So the width of the rectangle is 10.75 centimeters, and the length is 3x = 3(10.75) = 32.25 centimeters.

Thus, the system of equations to find the dimensions of the rectangle is:

x = 10.75
length = 3x = 32.25