Marissa is designing a rectangular poster whose width is 2/3 of its height. Its perimeter will be 100 inches. what are the dimensions of the poster?
20 and 30, scroll down
Damon just answered this for you.
http://www.jiskha.com/display.cgi?id=1443393397
To find the dimensions of the poster, we need to set up and solve an equation based on the given information.
Let's assume the height of the poster is h inches. According to the problem, the width of the poster is 2/3 of its height. Therefore, the width is (2/3)h inches.
The formula for the perimeter of a rectangle is given by P = 2L + 2W, where P is the perimeter, L is the length, and W is the width.
Given that the perimeter of the poster is 100 inches, we can write the equation as follows:
100 = 2*(2/3)h + 2h
To simplify the equation, we can multiply both sides by 3 to eliminate the fraction:
300 = 2(2h) + 6h
Next, distribute and simplify the equation:
300 = 4h + 6h
Combining like terms, we have:
300 = 10h
Now, divide both sides by 10 to solve for h:
h = 300/10
h = 30
So, the height of the poster is 30 inches.
To find the width, we can substitute the value of h back into the equation for the width:
Width = (2/3)h = (2/3)*30 = 20 inches
Therefore, the dimensions of the rectangular poster are 30 inches (height) and 20 inches (width).