Which is the best strategy to use to solve this problem?
Jarrod wants to make a rectangular garden that has an area of 100 square feet. He wants to put a fence around it, but he wants to use as little fencing material as possible.
What are the dimensions Jarrod should use for his garden?
A.
Make a list.
Create a list of all possible whole-number combinations of length and width that would equal an area of 100 square feet. Then start calculating the perimeter of each rectangle. Look for a pattern to decrease the number of calculations you have to make.
B.
Write a number sentence.
Use a number sentence to calculate the area of a rectangle. Use guess and check to find two numbers that when multiplied will give a product of 100.
C.
Use objects.
Arrange 100 square tiles in different patterns until you get a rectangular shape. Count the number of tiles on the perimeter of this shape.
What do you think?
I don't just know Mexico, i know math.
your answer will be (B), Thank You!
The best strategy to solve this problem is option A: Make a list.
To find the dimensions of the garden that use the least amount of fencing, we need to consider all possible whole-number combinations of length and width that would equal an area of 100 square feet. By creating a list of these combinations, we can then calculate the perimeter of each rectangle to determine which one requires the least amount of fencing material.
To start, we can list the combinations of length and width that would give an area of 100 square feet:
1 x 100
2 x 50
4 x 25
5 x 20
10 x 10
Next, we calculate the perimeter for each rectangle:
1 x 100 = perimeter of 202
2 x 50 = perimeter of 104
4 x 25 = perimeter of 58
5 x 20 = perimeter of 50
10 x 10 = perimeter of 40
By examining the list, we can identify that the rectangle with dimensions 10 x 10 has the smallest perimeter and would therefore use the least amount of fencing material. Hence, Jarrod should use a rectangular garden with dimensions of 10 feet by 10 feet.