Question

question 19 (5 points) 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 20 feet by 23 feet. a more accurate measurement of your living room using a standard measuring device results in the dimensions of your living room being 21 feet by 25 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. there is not enough information to compare the estimated measurements 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 5 more boxes. by using the estimated measurements, you will not have enough hardwood flooring to cover your living room. you will need to buy 4 more boxes. 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. question 20 (5 points) you are going to put new tile flooring in your room. you want to estimate the area of the floor by counting the tiles that are currently along the wall. your room is in the shape of a rectangle. you count 13 tiles on one side of the room and 17 on another side. using the dimensions of your current tile in the picture below, estimate the area of your room. 10 in 10 in 2210 in² 48841 in² 221 in² 22100 in²

Explanation:

Question 19

Step1: Calculate estimated area

The estimated dimensions of the living - room are 20 feet by 23 feet. The area formula for a rectangle is $A = l\times w$. So the estimated area $A_{est}=20\times23 = 460$ square feet.

Step2: Calculate accurate area

The accurate dimensions are 21 feet by 25 feet. Using the same formula, the accurate area $A_{acc}=21\times25=525$ square feet.

Step3: Calculate number of boxes based on estimates

Since 1 box covers 20 square feet, the number of boxes based on estimates $n_{est}=\frac{460}{20}=23$ boxes.

Step4: Calculate number of boxes based on accurate measurements

The number of boxes based on accurate measurements $n_{acc}=\frac{525}{20}=26.25$. Since we can't buy a fraction of a box, we need 27 boxes.

Step5: Find the difference in number of boxes

The difference $\Delta n=n_{acc}-n_{est}=27 - 23=4$ boxes.

Step1: Determine the dimensions of the room in inches

The room has 13 tiles on one side and 17 tiles on another side. Each tile is 10 inches by 10 inches. So the dimensions of the room are $l = 13\times10=130$ inches and $w = 17\times10 = 170$ inches.

Step2: Calculate the area of the room

Using the area formula for a rectangle $A=l\times w$, we have $A=130\times170 = 22100$ square inches.

Answer:

By using the estimated measurements, you will not have enough hardwood flooring to cover your living room. You will need to buy 4 more boxes.

Question 20