The length of a rectangle is equal to triple the width. The perimeter of the rectangle is 85
centimeters. Write a system of equations to
represent this situation and then determine
the length and the width of the rectangle.

y = 3x

2y + 2x = 85

x = 10 5/8 y = 31 5/8

Step-by-step explanation:

Let’s say that y = length and x = width. We know that the length is 3 times the width (y = 3x) and the perimeter of the rectangle is 85 (2y + 2x = 85). To solve the system of equations, substitute y = 3x into the other equation. This results in the equation 2(3x) + 2x = 85. We now simplify the equation. 6x + 2x = 85 8x = 85 x = 10 5/8.

Now that we know x, we can substitute it into either equation to solve for y. y = 3(10 5/8) y = 31 5/8

answ9x x 3=

step-by-step explanation: