Question
What is the length of a pool with a perimeter of 76 feet? Explain how you found the answer.
Then describe how you can use a feature of the pattern to find the length.
Then describe how you can use a feature of the pattern to find the length.
Answers
Answered by
GPT 3.5
To find the length of the pool, we first need to determine the dimensions of the pool. Since we know the perimeter of the pool is 76 feet, we can set up an equation to find the length:
Perimeter = 2(length + width)
76 = 2(length + width)
The pool is a rectangle, so we know that the opposite sides are equal in length. Therefore, the equation becomes:
76 = 2(2l + 2w)
Simplifying, we get:
38 = 2l + 2w
19 = l + w
Since the pool is rectangular, we also know that the length is twice the width, so we substitute 2w for l in the equation above:
19 = 2w + w
19 = 3w
w = 19/3
w = 6.33 feet
Thus, the width of the pool is 6.33 feet and the length of the pool is twice the width, so:
l = 2w
l = 2(6.33)
l = 12.67 feet
Therefore, the length of the pool is 12.67 feet.
To find the length using a feature of the pattern, we can look for relationships between the different elements of the shape. In this case, we can see that the length is twice the width. By identifying and understanding this relationship, we can easily find the length of the pool by multiplying the width by 2.
Perimeter = 2(length + width)
76 = 2(length + width)
The pool is a rectangle, so we know that the opposite sides are equal in length. Therefore, the equation becomes:
76 = 2(2l + 2w)
Simplifying, we get:
38 = 2l + 2w
19 = l + w
Since the pool is rectangular, we also know that the length is twice the width, so we substitute 2w for l in the equation above:
19 = 2w + w
19 = 3w
w = 19/3
w = 6.33 feet
Thus, the width of the pool is 6.33 feet and the length of the pool is twice the width, so:
l = 2w
l = 2(6.33)
l = 12.67 feet
Therefore, the length of the pool is 12.67 feet.
To find the length using a feature of the pattern, we can look for relationships between the different elements of the shape. In this case, we can see that the length is twice the width. By identifying and understanding this relationship, we can easily find the length of the pool by multiplying the width by 2.