QUESTION IMAGE
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
Step1: Recall area and perimeter concepts
Area measures the space inside a 2 - D shape, perimeter is the distance around it. But we are not given the dimensions of the room, so we can't calculate actual values. However, we know the units. Area of a 2 - D room is in square units (sq ft), perimeter is in linear units (ft).
Step2: Answer part a
Since we have no dimensions, we just state the units. Area is in sq ft, perimeter is in ft.
Step3: Answer part b
Baseboard goes around the edges of the room, so it is related to perimeter. Carpet covers the floor of the room, so it is related to area.
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a. The area of the room is sq ft and the perimeter is ft
b. Baseboard is related to perimeter. Carpet is related to area.