Predictions:
- The lawn with the largest perimeter is likely to be lawn D since it has the most sides.
- The lawn with the largest area is likely to be lawn D since it has the most sides and possibly a combination of longer and shorter sides.
Calculations:
A:
- Perimeter: 6 ft + 9 ft + 6 ft + 9 ft = 30 ft
- Area: 6 ft * 9 ft = 54 sq ft
B:
- Perimeter: 4 ft + 13 ft + 4 ft + 13 ft = 34 ft
- Area: 4 ft * 13 ft = 52 sq ft
C:
- Perimeter: 5 ft + 5 ft + 5 ft + 5 ft = 20 ft
- Area: 5 ft * 5 ft = 25 sq ft
D:
- Perimeter: 4 ft + 3 ft + 6 ft + 6 ft + 9 ft + 10 ft = 38 ft
- Area: (3 ft * 6 ft) + (6 ft * 10 ft) + (4 ft * 9 ft) / 2 = 78 sq ft
Results:
- The lawn with the largest perimeter is actually lawn D with a perimeter of 38 ft.
- The lawn with the largest area is actually lawn D with an area of 78 sq ft.
A: 6 ft, 9ft
B: 4 ft, 13ft
C: 5 ft, 5 ft
D: 4 ft, 3 ft, 6 ft, 6 ft, 9 ft, 10 ft
Directions: Find the area and perimeter for each lawn that Chad mowed. Show
your work. Before you complete the computations, make some predictions.
Which lawn do you think has the largest perimeter?
Which lawn do you think has the largest area?
What is the predicted perimeter and predicted area and actual perimeter and area for A, B, C & D
11 answers
Will lawn D have the same area and perimeter if it is changed to a regular 9-foot by
10-foot rectangle? Explain your answer.
10-foot rectangle? Explain your answer.
If lawn D is changed to a regular 9-foot by 10-foot rectangle, it will have the same area but a different perimeter.
For a regular rectangle, the area is calculated by multiplying the length by the width. Here, a 9-foot by 10-foot rectangle would have an area of 9 ft * 10 ft = 90 sq ft, which is different from the original irregular shape of lawn D.
The perimeter of a rectangle is calculated by adding all four sides together, which for a 9-foot by 10-foot rectangle would be 9 ft + 9 ft + 10 ft + 10 ft = 38 ft. This is different from the original perimeter of lawn D, which was 38 ft with sides of different lengths.
In conclusion, the area of lawn D would be the same if changed to a regular 9-foot by 10-foot rectangle, but the perimeter would be different.
For a regular rectangle, the area is calculated by multiplying the length by the width. Here, a 9-foot by 10-foot rectangle would have an area of 9 ft * 10 ft = 90 sq ft, which is different from the original irregular shape of lawn D.
The perimeter of a rectangle is calculated by adding all four sides together, which for a 9-foot by 10-foot rectangle would be 9 ft + 9 ft + 10 ft + 10 ft = 38 ft. This is different from the original perimeter of lawn D, which was 38 ft with sides of different lengths.
In conclusion, the area of lawn D would be the same if changed to a regular 9-foot by 10-foot rectangle, but the perimeter would be different.
Make it sound like a 8 year old wrote it
If lawn D becomes a rectangle that is 9 feet by 10 feet, it will have the same amount of grass inside but a different shape around the edges. The area, which is like counting all the squares inside, will stay the same at 90 square feet. But the perimeter, which is like walking around the outside, will change to 38 feet because all the sides will be the same length. So, lawn D will look different but have the same amount of grass if it becomes a rectangle!
What’s a guess for the perimeter and area? Make it sound like a 8 year old guess
I think the lawn with the longest side has the biggest perimeter, so maybe lawn D has the longest sidewalk around it. And I guess the lawn with the most sides will have the most grass, so lawn D might have the most grass to mow.
No, you have to make a guess for perimeter (in feet) and the area (in feet) for A,B,C & D also make it sound like a 8 year old guessed it
A: I think the sidewalk around lawn A is around 25 feet and the area of grass inside is like 50 squares.
B: For lawn B, the sidewalk is maybe 35 feet and the grassy part is about 45 squares.
C: The sidewalk for lawn C could be 25 feet long with around 30 squares of grassy area.
D: Lawn D might have a sidewalk of like 30 feet and the grassy part could be around 70 squares.
B: For lawn B, the sidewalk is maybe 35 feet and the grassy part is about 45 squares.
C: The sidewalk for lawn C could be 25 feet long with around 30 squares of grassy area.
D: Lawn D might have a sidewalk of like 30 feet and the grassy part could be around 70 squares.
Chad mowed all four lawns in one week. How many total square feet did
Chad mow altogether? Show your work. Make it sound like a 8 year old wrote it
Chad mow altogether? Show your work. Make it sound like a 8 year old wrote it
To find out how much grass Chad mowed in total, we need to add up all the square feet from each lawn.
Square feet mowed in each lawn:
- Lawn A: 54 sq ft
- Lawn B: 52 sq ft
- Lawn C: 25 sq ft
- Lawn D: 78 sq ft
Now, let's add them all up:
54 sq ft + 52 sq ft + 25 sq ft + 78 sq ft = 209 sq ft
So, Chad mowed 209 square feet of grass altogether in one week! That's a lot of grass!
Square feet mowed in each lawn:
- Lawn A: 54 sq ft
- Lawn B: 52 sq ft
- Lawn C: 25 sq ft
- Lawn D: 78 sq ft
Now, let's add them all up:
54 sq ft + 52 sq ft + 25 sq ft + 78 sq ft = 209 sq ft
So, Chad mowed 209 square feet of grass altogether in one week! That's a lot of grass!