Question

5 Signs for science project displays are cut of poster board that measure 1 yard on each side. Each sign is-yard long and-yard wide. How ma signs can be cut from 1 piece of poster board? Wh the area of each sign? Show your work.​

Answer 1

`\text{27}`

Explanation:

Given that :

`\text{Dimension of poster board} = 1 \ \text{yd} \ \text{by} \ 1 \ \text{yd}`

`\text{Dimension of each poster board} = (1)/(3) \ \text{yd} \ \text{by} \ (1)/(9) \ \text{yd}`

Number of poster signs that can be cut :

`\text{Area of poster sign} = (1)/(3) * (1)/(9) = (1)/(27) \ \text{yard}^2`

`\text{Area of poster board} = 1 \ \text{yard}^2`

Number of poster signs that can be cut :

`\frac{\text{Area of poster board}}{\text{Area of poster sign}}`

`1 \ \text{yard}^2/ ((1)/(27) ) \ \text{yard}^2`

`1 / (1)/(27)`

`1 * (27)/(1)`

`\bold{= 27 \ poster \ signs}`