Question

middle school math 2023 mathematics
area vs. perimeter
area the measurement of the inside
perimeter the measurement of the outside of a shape.
circle each term that refers to area & underline each term that refers to perimeter.
square units distance around total length of sides units length x width space inside
lets try!
your bedroom is a bit of an awkward shape, and you want to line your ceiling with led lights.
you need to figure out how many boxes of led lights you need to buy.
each box comes with a 32 - foot - long strip of lights.
lets work it out

1. do we need to know the area or the perimeter? how do you know?
2. use your pencil or a highlighter to identify the part of your bedroom that is included in the perimeter.
3. how many feet of led lights do you need to go around your ceiling? so how many boxes need to buy?

Explanation:

Step1: Determine required measurement

Since we are lining the ceiling with LED lights (going around the edge), we need the perimeter.

Step2: Calculate the perimeter

The bedroom shape can be thought of as a rectangle - like shape. The lengths of the sides are: two sides of length 15 ft, two sides of length 4 ft and two sides of length 2 ft. The perimeter $P$ is $P=(2\times15)+(2\times4)+(2\times2)=30 + 8+4=42$ ft.

Step3: Calculate number of boxes

Each box has 32 - foot - long strip of lights. $42\div32 = 1.3125$. Since we can't buy a fraction of a box, we need to buy 2 boxes.

Answer:

1. We need to know the perimeter because we are lining the edge (outside) of the ceiling with LED lights.
2. (This part is a visual task and can't be shown in text, but the sides of the outer - most boundary of the ceiling shape should be identified).
3. We need 42 feet of LED lights and we need to buy 2 boxes.