McGraw Hill Integrated II, 2012
MH
McGraw Hill Integrated II, 2012 View details
2. Surface Areas of Prisms and Cylinders
Continue to next subchapter

Exercise 47 Page 821

Find the perimeter and the area of the floor.

H

Practice makes perfect

We are asked to find the cost to install hardwood flooring in a room that is 18 by 15 feet.

The cost depends on the area and the perimeter of the floor. Let's find them.
Floor
Length l= 18
Width w= 15
Perimeter P=2 l+2 w=2( 18)+2( 15)=66
Area A= l w=( 18)( 15)=270

The perimeter of the room is P=66 feet and its area is A=270 square feet. Now, let's find the cost of each part of installing hardwood flooring.

  • Subflooring: It costs $2.25 per square foot. Since the area is 270 square feet, the cost of this part is 270* $ 2.25= $ 607.50.
  • Wood Flooring: It costs $4.59 per square foot. Therefore, the cost of this part is 270* $4.59= $1239.30.
  • Baseboards It costs $1.95 per linear foot around room. Since the perimeter is 66 feet, the cost of this part is 66* $1.95= $ 128.70.
  • Nail & Other Materials: It costs $25.95 per job.
  • Labor: It costs $99 plus $0.99 per square foot. This tells us that the cost of this part is $99+270* $0.99= $366.30.

Now, let's add the above costs.

Total Cost:

$607.5+$1239.3+$128.7+$25.95+$366.3 = $ 2367.75

The answer corresponds to option H.