Arectangular poster is three times as it is wide. a rectangular banner is five times as long as it is wide. but the banner in the poster have a perimeter of 24 inches. what are the length and width of the poster and banner?

The length of the rectangular banner is 10 inches

The width of the rectangular banner is 2 inches .

Step-by-step explanation:

Given as :

The length of rectangular banner is five times as long as its width

The perimeter of rectangular banner = P = 24 inches

Let The width of rectangular banner = w inches

And The length of rectangular banner = 5 w  inches

Now, According to question

The perimeter of rectangular banner = perimeter of rectangle = 2 × length + 2 × width

Or, The perimeter of rectangular banner =  2 × 5 w + 2 × w

Or, 24 inches = 10 w + 2 w

Or, 24 inches = 12 w

∴ w =

I.e w = 2 inches

So, The width of rectangular banner = w = 2 inches

Put the value of w to get length

So, The length of rectangular banner = 5 × 2 = 10  inches

Hence The length of the rectangular banner is 10 inches and The width of the rectangular banner is 2 inches . Answer

its 69.420

step-by-step explanation:

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions