Answer: the width of the uniform path is 9 meters.
Step-by-step explanation:
Let x represent the width of the uniform path.
A pool measuring 18 meters by 22 meters is surrounded by a path of uniform width. It means that the combined length of the pool and the uniform path is (18 + 2x) meters and the combined width of the pool and the uniform path is (22 + 2x) meters.
If the area of the pool and the path combined is 1440 square meters, it means that
(18 + 2x)(22 + 2x) = 1440
396 + 36x + 44x + 4x² = 1440
4x² + 80x + 396 - 1440 = 0
4x² + 80x - 1044 = 0
Dividing both sides of the equation by 4, it becomes
x² + 20x - 261 = 0
x² + 29x - 9x - 261 = 0
x(x + 29) - 9(x + 29) = 0
x - 9 = 0 or x + 29 = 0
x = 9 or x = 29
Since the width cannot be negative, then x = 9 meters
To find the area of a rectangle, we must use the formula, A = lw, where the variable l represents the length of the rectangle and the variable w represents the width of the rectangle. To find the area, we just have to substitute in the values we are given for the length and width (shown in the picture above) to calculate the area. This is modeled below:
A = lw
A = 12 cm * 5 cm
To solve, we simply multiply the two factors on the right side of the equation to find the area. Remember that because we are multiplying these two numbers together, we should end up with an answer that has squared units!
A = 60 cm²
Therefore, your answer is that the area of the rectangle is 60 cm².
Hope this helps!
Answer: 56
Step-by-step explanation:
Answer:
12.5
Step-by-step explanation:
x = 2.5, 5x = ?
5(2.5) = 5 x 2.5 = 12.5
The labeled point means the Amelia biked 1.5 30 miles in 1.5 hours.
This means that in 1 hour, Amelia biked 20 miles.
Her distance changed at a unit rate of 20 miles per hour, so that was her speed.
