Question

18. A rectangular table cloth has a width of 3 yards 1 foot and a length of 4 yards. Part A. Debbie says that the width could also be written as 4 feet. Explain wether you agree or disagree with Debbie. Part B. The cost of the fabric used to make the tablecloth is $0.25 per square foot. Explain how to find the cost of the fabric needed to make the table cloth.

Answer 1

A)

In order to check this sentence, we need to convert the value from foot to yard.

Knowing that 1 yard is equal 3 feet, we have that:

`3\text{ yards 1 foot}=3\cdot3\text{ feet + 1 foot}=9\text{ feet + 1 feet}=10\text{ feet}`

So Debbie's affirmation is incorrect, therefore we disagree.

B)

First we need to calculate the area of the table cloth.

Converting the length to foot, we have:

`4\text{ yards}=4\cdot3\text{ feet}=12\text{ feet}`

Now, calculating the area (which is the product of the length and the width), we have:

`\text{Area}=10\cdot12=120\text{ ft}^2`

If each square foot is $0.25, we just need to multiply the area by the cost of one square foot in order to find the cost of the fabric for the table cloth:

`\text{Cost}=120\cdot0.25=30`

So the cost is $30.