contestada

The width of a rectangle is 5x+3, and the length of the
rectangle is 20x + 12. Determine the ratio of the width to the
length.
Enter the answer as a fraction in the form a/b.

Respuesta :

Answer:

Answer: 1/4

Step-by-step explanation:

Algebraic Operations

The width of a rectangle is given as W=5x+3 and the length of the rectangle is given as L=20x+12.

It's required to determine the ratio of the width to the length, that is:

[tex]\displaystyle \frac{W}{L}=\frac{ 5x+3}{20x+12}[/tex]

This fraction can be simplified if we factor the expression in the denominator. The LCF of 20x and 12 is 4, thus:

[tex]\displaystyle \frac{W}{L}=\frac{ 5x+3}{4(5x+3)}[/tex]

Now note we have the exact same expression up and down, thus simplifying:

[tex]\displaystyle \frac{W}{L}= \frac{1}{4}[/tex]

Answer: 1/4