Question 6 (2 points) The perimeter and the ratio of the length to the width of a rectangle are given. Find the length and width of the rectangle.
Perimeter: 50 inches.
I:w=3:2

Step-by-step explanation:

Ratio = 3 : 2

Length =3x

Width = 2x

Perimeter = 50 inches

2*(length + width ) = 50

2* (3x + 2x ) = 50

       2* 5x    = 50

               10x = 50

                  x = 50/10

x = 5

Length = 3*5 = 15 inches

Width = 2*5   =  10 inches

area = length x width

length = 2 x width

32 = 2 x width x width

32 = 2 x width^2

36 = width ^2  

width = 6

length = 12

area is 32

perimeter = 2 x 12 + 2 x 6 = 24 + 12 = 36

step-by-step explanation: