the length of a rectangular swimming pool is 12 feet longer than two thirds its width. if theperimeter of the pool is 44 feet,what is the length of the pool?
The length of the pool is 16. the width is 6
To ride to school, Elaine takes 15 minutes to ride 8 blocks. Assuming she rides at a constant speed, how long should it take her to go 20 blocks? Justify your answer.
15 x = 300/8 = 37.5
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8 20 = 300
x= 37.5
To find the length of the pool, we need to first set up an equation based on the given information.
Let's say the width of the pool is "w" feet. According to the given information, the length of the pool is 12 feet longer than two-thirds of its width. We can express this as:
Length = (2/3)w + 12
The perimeter of a rectangular pool is the sum of all its sides. In this case, the perimeter is given as 44 feet. The perimeter of a rectangle is calculated as 2 times the sum of its length and width. So, we can write the equation as:
2(length + width) = 44
Substituting the value of the length in terms of the width, we get:
2((2/3)w + 12 + w) = 44
Simplifying the equation:
2(5/3w + 12) = 44
(10/3w + 24) = 22
10/3w = 22 - 24
10/3w = -2
Now, we can solve for "w" by multiplying both sides by 3/10:
w = (-2) * (3/10)
w = -6/10
w = -0.6 (width cannot be negative, so we discard this value)
Since width cannot be negative, we can conclude that there is no solution for this equation. Therefore, there is no valid length for the pool that would satisfy the given conditions.