Question

Ali wants to create a bulletin board by cutting a rectangular piece of cork and wrapping the edges in ribbon. She decides the width of the board should be 35 of the length.
If she has 100 inches of ribbon, what is the largest board with whole number dimensions that she should cut?

Answer 1

Answer:

The answer is below

Step-by-step explanation:

She decides the width of the board should be atleast 35% of the length.

Solution:

Let x represent the length of the bulletin board and y be the width of the bulletin board. Since there is 100 inches available, hence:

Perimeter = 2(length + width)

100 = 2(x + y)

x + y = 50        

Also, since the width is 35% of the area, hence:

y = 35% of x

y = 0.35x

Since:

x + y = 50    

x + 0.35x = 50

1.35x = 50

x = 37.04

x ≅ 38 inches to the next whole number

x + y = 50

y = 50 - 38

y = 12 inches

The bulletin board is 38 inches by 12 inches