To determine whether to use perimeter or area, consider what is being measured: area is used for covering surfaces, while perimeter is used for boundaries.
(a) Sod for a lawn: Use area, as sod covers the surface.
(b) Carpeting for a bedroom: Use area, as carpeting covers the floor.
(c) Baseboards for a living room: Use perimeter, as baseboards run along the boundary.
(d) Fencing for a yard: Use perimeter, as fencing encloses the boundary.
(e) Fertilizer for a garden: Use area, as fertilizer covers the surface.
(f) Tile for a bathroom: Use area, as tile covers the floor.
(g) Determining the cost of planting rye grass in a lawn for the winter: Use area, as grass covers the surface.
(h) Determining the cost of replacing a linoleum floor with a wood floor: Use area, as flooring covers the surface.
For sod, which is used to cover the surface of a lawn, the appropriate measure is area. Thus, we denote this as:
\[
\text{Sod for a lawn} \rightarrow \text{area}
\]
Carpeting is also used to cover the floor of a bedroom, which requires calculating the area. Therefore, we have:
\[
\text{Carpeting for a bedroom} \rightarrow \text{area}
\]
Baseboards run along the perimeter of the room, which means we need to measure the perimeter for this task. Thus, we conclude:
\[
\text{Baseboards for a living room} \rightarrow \text{perimeter}
\]
Fencing encloses the yard, which requires measuring the perimeter. Therefore, we state:
\[
\text{Fencing for a yard} \rightarrow \text{perimeter}
\]
Fertilizer is spread over the surface of the garden, so we use area for this calculation:
\[
\text{Fertilizer for a garden} \rightarrow \text{area}
\]
Tile is used to cover the bathroom floor, which also requires calculating the area:
\[
\text{Tile for a bathroom} \rightarrow \text{area}
\]
Planting rye grass involves covering the lawn area, so we again use area:
\[
\text{Cost of planting rye grass} \rightarrow \text{area}
\]
Replacing flooring involves covering the surface area, thus we use area for this task as well:
\[
\text{Cost of replacing linoleum with wood} \rightarrow \text{area}
\]
- Sod for a lawn: \(\text{area}\)
- Carpeting for a bedroom: \(\text{area}\)
- Baseboards for a living room: \(\text{perimeter}\)
- Fencing for a yard: \(\text{perimeter}\)
- Fertilizer for a garden: \(\text{area}\)
- Tile for a bathroom: \(\text{area}\)
- Cost of planting rye grass: \(\text{area}\)
- Cost of replacing linoleum with wood: \(\text{area}\)
Thus, the answers are:
\[
\boxed{\text{(a) area, (b) area, (c) perimeter, (d) perimeter}}
\]
Answered
