Question

for the purpose of purchasing new baseboard and carpet, complete parts a and b below. a. find the area and perimeter of the room (neglecting doors). b. identify whether baseboard has to do with area or perimeter and the same with carpet. a. the area of the room is and the perimeter is . b. choose the correct answer below. a. both the baseboard and carpet have to do with perimeter. b. both the baseboard and carpet have to do with area. c. the baseboard has to do with perimeter and the carpet has to do with area. d. the baseboard has to do with area and the carpet has to do with perimeter.

Explanation:

Step1: Recall area and perimeter concepts

Area is the amount of space inside a shape, perimeter is the distance around the shape. Carpet covers the floor (area), base - board goes around the room (perimeter).
Area of a rectangle $A = l\times w$, where $l = 9$ ft and $w = 8$ ft, so $A=9\times8 = 72$ square - feet. Perimeter of a rectangle $P=2(l + w)=2(9 + 8)=2\times17 = 34$ feet.

Step2: Answer part a

The area of the room is 72 square - feet and the perimeter is 34 feet.

Step3: Answer part b

Baseboard is related to perimeter (going around the edge of the room), carpet is related to area (covering the floor). So the baseboard has to do with perimeter and the carpet has to do with area.

Answer:

a. Area: 72 square - feet; Perimeter: 34 feet
b. C. The baseboard has to do with perimeter and the carpet has to do with area.