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 sq ft and the perimeter is

Explanation:

Step1: Calculate the area

The room is a rectangle. The area formula for a rectangle is $A = l\times w$, where $l = 10$ ft and $w = 7$ ft. So $A=10\times7 = 70$ sq ft.

Step2: Calculate the perimeter

The perimeter formula for a rectangle is $P=2(l + w)$. Substitute $l = 10$ ft and $w = 7$ ft into the formula: $P = 2(10 + 7)=2\times17 = 34$ ft.

Step3: Determine base - board and carpet

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

Answer:

a. The area of the room is 70 sq ft and the perimeter is 34 ft.
b. Baseboard is related to perimeter. Carpet is related to area.