Question

you are wanting to put hard wood flooring in your living room. you used your stride length to estimate the dimensions of your living room to be 12 feet by 15 feet. a more accurate measurement of your living room using a standard measuring device results in the dimensions of your living room being 14 feet by 16 feet. 1 box of hardwood will cover 20 square feet. you want to make sure that you buy enough hard wood to cover your living room. explain the effects that an error in measurement has on your estimated measurements by comparing them to the more accurate measurements.
by using the estimated measurements, you will not have enough hardwood flooring to cover your living room. you will need to buy 2 more boxes.
by using the estimated measurements, you will not have enough hardwood flooring to cover your living room. you will need to buy 3 more boxes.
there is not enough information to compare the estimated measurements to the more accurate measurements.
by using the estimated measurements, you will have enough hardwood flooring to cover your living room. you will even have some left over in case you have to replace a piece of the flooring.

Explanation:

Step1: Calculate estimated area

$\text{Estimated Area} = 12 \times 15 = 180$ square feet

Step2: Calculate estimated boxes needed

$\text{Estimated Boxes} = \frac{180}{20} = 9$ boxes

Step3: Calculate actual area

$\text{Actual Area} = 14 \times 16 = 224$ square feet

Step4: Calculate actual boxes needed

$\text{Actual Boxes} = \lceil\frac{224}{20}
ceil = 12$ boxes

Step5: Find box difference

$\text{Box Difference} = 12 - 9 = 3$ boxes

Answer:

B. By using the estimated measurements, you will not have enough hardwood flooring to cover your living room. You will need to buy 3 more boxes.