Question

Hanley is putting carpet in her house. She wants to carpet her living room, which measures 15 ft × 12 1/3 ft. She also wants to carpet her dining room, which is 10 1/3 ft. How many square feet of carpet will she need to cover both rooms?

Answer 1

Answer: Hanley needs 292 square feet of carpet.

Explanation:

For Hanley to determine the area or in this case, amount, of the carpet she will need to be able to cover the living room and the dining room, she needs to calculate the areas.

Remember that the area is the length multiplied by the width.

Firstly, in order to find the area, you need to multiply AREA= LENGTH X WIDTH

15ft X 12 1/3 which gives you 185 square feet.

10 1/3 X 10 1/3 = 106.78 square feet

Rounded off to the nearest decimal = 107 square feet

Total square feet= living room + Dining room

185 square feet + 107 square feet = 292 square feet

Therefore, Hanley needs 292 square feet of carpet.

Answer 2

Answer:
`290(11)/(12)\ ft^2`

Explanation:

The missing data in this exercise is: " She also wants to carpet her dining room, which is
`10(1)/(4)\ ft*10(1)/(3)\ ft`"

The area of a rectangle can be calculated with the following formula:

`A=lw`

Where "l" is the lenght and "w" is the width.

Since her living room measures
`15\ ft*12(1)/(3)\ ft`, we can say that:

`l=15\ ft\\\\w=12(1)/(3)\ ft=((12*3)+1)/(3)\ ft=(37)/(3)\ ft`

Then, substituting values into the formula, we get:

`A_(l)=(15\ ft)((37)/(3)\ ft)=185\ ft^2`

Since her dining room is
`10(1)/(4)\ ft*10(1)/(3)\ ft`, we can say that:

`l=10(1)/(3)\ ft=((10*3)+1)/(3)\ ft=(31)/(3)\ ft\ ft\\\\w=10(1)/(4)\ ft=((10*4)+1)/(4)\ ft=(41)/(4)\ ft`

Then, substituting values into the formula, we get:

`A_(d)=((31)/(3)\ ft)((41)/(4)\ ft)=(1271)/(12)\ ft^2`

The amount of square feet of carpet that she'll need to cover both rooms is:

`A_(carpet)=185\ ft^2+(1271)/(12)\ ft^2=(3491)/(12)\ ft^2`
`=290(11)/(12)\ ft^2`