The perimeter of rectangle R is equal to 8 times the width of rectangl

Question

The perimeter of rectangle R is equal to 8 times the width of rectangle R. What is the ratio of length to width for rectangle R?

A. 1:2
B. 2:1
C. 3:1
D. 4:1
E. 8:1

houston1980 · Answer

Choose a convenient number such as 8. The width will be equal to 1 = Perimeter = 2W+2L . where W = Width and L = Length
2W + 2L = 8

2(1) + 2L = 8

2+2L = 8

2L = 6

L =3

Therefore the ratio of length to width for rectangle R is 3: 1

Hence    option C = 3:1    is the answer.

generis · Answer

Perimeter of rectangle =   2L + 2W  
Perimeter of rectangle =   8W  
Ratio of length to width =   \frac{L}{W} ?

2L + 2W = 8W 
 2L = 6W  , so
 \frac{L}{W}=\frac{6}{2}=\frac{3}{1}

Answer C

ScottTargetTestPrep · Answer

Solution:
 
Since P = 2L + 2W and P = 8W, we can create the equation:

2L + 2W = 8W

2L = 6W

L/W = 6/2 = 3/1

Answer: C

Prep Toolkit