Question

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.

Answer 1

Answer: 1/4

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:

`\displaystyle (W)/(L)=( 5x+3)/(20x+12)`

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

`\displaystyle (W)/(L)=( 5x+3)/(4(5x+3))`

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

`\displaystyle (W)/(L)= (1)/(4)`

Answer: 1/4