Question

A rectangular 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?

Answer 1

Answer:

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 = $\dfrac{24}{12}$

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