Find length and width given the perimeter of a rectangle

The perimeter of a rectangular garden is 80 meters. If its width is 2/3 of its length, find the dimensions of the garden. Represent the data, write the equation, and solve.

x = length
(2/3)x = width

Perimeter of a rectangle is 2(length) + 2(width)

2x + 2(2/3)x = 80   {perimeter is 2(length) + 2(width)
2x + (4/3)x = 80 {multiplied}
(10/3)x = 80 {combined like terms}
x = 24 {divided each side by 10/3}
(2/3)x = 16 {substituted 24, in for x, into  (2/3)x}

length is 24 meters
width is 16 meters
 
- Algebra House