Question

unit 5 - algebra part 1 question 26, 9.5.29 part 1 of 2 hw score: 87.18%, 34 of 39 points points: 0 of 1 save 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

Explanation:

Step1: Recall area formula for rectangle

The room is rectangular. Area formula for rectangle is $A = l\times w$, where $l = 9.5$ ft and $w = 7$ ft. So $A=9.5\times7 = 66.5$ square - feet.

Step2: Recall perimeter formula for rectangle

Perimeter formula for rectangle is $P=2(l + w)$. Substitute $l = 9.5$ ft and $w = 7$ ft. Then $P = 2(9.5+7)=2\times16.5 = 33$ feet.

Step3: Determine base - board and carpet relation

Baseboard goes around the edge of the room, so it is related to perimeter. Carpet covers the floor of the room, so it is related to area.

Answer:

a. The area of the room is $66.5$ square - feet and the perimeter is $33$ feet.
b. Baseboard has to do with perimeter. Carpet has to do with area.