Question

question 3 (1 point) a carpet installer measures three rooms in a house for carpet. their measurements are below. if industry standard is 12% extra order is necessary for waste, how many square feet of carpet should the installer order for this house? room 1 15 ft by 11 ft room 2 9 ft by 17 ft room 3 10 ft 3 in by 8 ft 6 in round your answer to the nearest square foot. your answer: answer units

Explanation:

Step1: Calculate area of Room 1

Area of a rectangle is length times width. For Room 1 with length $l_1 = 15$ ft and width $w_1=11$ ft, $A_1=l_1\times w_1=15\times11 = 165$ square - feet.

Step2: Calculate area of Room 2

For Room 2 with length $l_2 = 9$ ft and width $w_2 = 17$ ft, $A_2=l_2\times w_2=9\times17=153$ square - feet.

Step3: Convert inches to feet for Room 3

3 inches is $\frac{3}{12}=0.25$ ft and 6 inches is $\frac{6}{12}=0.5$ ft. So dimensions of Room 3 are $l_3 = 10.25$ ft and $w_3 = 8.5$ ft. Then $A_3=l_3\times w_3=10.25\times8.5 = 87.125$ square - feet.

Step4: Calculate total area of the three rooms

$A_{total}=A_1 + A_2+A_3=165 + 153+87.125=405.125$ square - feet.

Step5: Account for waste

Since 12% extra is needed for waste, the total amount of carpet needed is $A = A_{total}\times(1 + 0.12)$. So $A=405.125\times1.12=453.74$ square - feet. Rounding to the nearest square foot, $A\approx454$ square - feet.

Answer:

454 square feet