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19 votes
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.

User Mith
by
8.9k points

1 Answer

9 votes

Answer:

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

User Andriy Kozachuk
by
7.2k points

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