Question

The area on a wall covered by a rectangular poster is 486 square inches. The length of the poster is 1.5 times longer than the width of the poster. What are the dimensions of the poster

Answer 1

Answer:

Step-by-step explanation:

If the length and width of the poster are represented by variables $l$ and $w$ respectively, then we can set up the following equations based on the problem statement:

$lw = 486$

$l = 1.5w$

We can plug the second equation in the first to get the following:

$(1.5w)w = 486$

$1.5w^{2} = 486$

$w^{2} = 324$

$w = 18$

Plugging this back into the first original equation, we can get the value of $l$:

$l(18) = 486$

$l = 27$

From this, we know that the width is $18$ units and the length is $27$ units.